<we><edit> <!-- questions and answers -->
matrices
discrete-geometry
knot-theory
lattices
finite-groups
geometric-group-theory
pr.probability
sobolev-spaces
algebraic-groups
convex-polytopes
forcing
ac.commutative-algebra
open-problems
ag.algebraic-geometry
polynomials
ct.category-theory
ap.analysis-of-pdes
na.numerical-analysis
reference-request
mp.mathematical-physics
probability-distributions
stochastic-processes
complex-geometry
galois-theory
prime-numbers
dg.differential-geometry
Homeomorphism/ homotopy types of non-negatively curved manifolds
dg.differential-geometry
gt.geometric-topology
mg.metric-geometry
riemannian-geometry
alexandrov-geometry
Triangulations of convex surfaces
co.combinatorics
dg.differential-geometry
mg.metric-geometry
convex-polytopes
convex-geometry
Cocycle description of gerbes
dg.differential-geometry
gerbes
Is it true that every vector bundle over a non compact smooth manifold is trivial at infinity?
dg.differential-geometry
differential-topology
Where to find the results of Onishchik?
reference-request
dg.differential-geometry
A question about a paper of Bismut and Lebeau
dg.differential-geometry
riemannian-geometry
connections
sub-riemannian-geometry
submersions
Existence of geodesic convex functions
reference-request
dg.differential-geometry
riemannian-geometry
convex-geometry
What is general expression for the moment map of a Kaehler Hamiltonian G-manifold
dg.differential-geometry
sg.symplectic-geometry
kahler-manifolds
isometries
moment-map
Higher order terms in an asymptotic expansion of ALE metric of a Hyper-Kahler 4-manifolds
dg.differential-geometry
complex-geometry
riemannian-geometry
holonomy
hyperkaehler
Asking Explanation for a tiny part of the paper The construction of ALE spaces as Hyper-Kahler Quotient" by Kronheimer
dg.differential-geometry
complex-geometry
riemannian-geometry
holonomy
hyperkaehler
A question about the Chern-Weil construction of Euler class
dg.differential-geometry
characteristic-classes
Notion of Torsors
dg.differential-geometry
principal-bundles
torsors
A kind of "Curvature tensor" for higher dimensional tensors
dg.differential-geometry
riemannian-geometry
curvature
multilinear-algebra
tensor
Is there a relationship between the zeta function of a Laplacian and the Selberg Zeta Function?
nt.number-theory
dg.differential-geometry
arithmetic-geometry
Endomorphism sheaves of vector bundles
ag.algebraic-geometry
dg.differential-geometry
rt.representation-theory
vector-bundles
Extending metrics from $M =\mathbb{T}^2 \times (-\pi , \pi)$ to $ \mathbb{T}^3$
dg.differential-geometry
gt.geometric-topology
riemannian-geometry
Reference for connection of a Hessian metric
reference-request
dg.differential-geometry
riemannian-geometry
semi-riemannian-geometry
Do cotangent bundles have "bounded geometry"?
dg.differential-geometry
riemannian-geometry
Biholomorphic maps between cotangent bundles with non-standard complex structures
dg.differential-geometry
complex-geometry
sg.symplectic-geometry
$|sec_M| \leqslant C_1$, $|\nabla R|\leqslant C_2$, then frame bundle $|sec_{F(M)}|\leqslant C(C_1,C_2)$?
dg.differential-geometry
Rigidity of doubled convex caps
reference-request
dg.differential-geometry
convex-geometry
curves-and-surfaces
Has the conformally field theoretic metric on a Calabi-Yau variety been proved to exist?
dg.differential-geometry
string-theory
conformal-field-theory
The uniqueness of Poincaré metric
reference-request
dg.differential-geometry
riemannian-geometry
modular-forms
hyperbolic-geometry
Vanishing of K-theoretic index and positive scalar curvature
dg.differential-geometry
riemannian-geometry
oa.operator-algebras
spin-geometry
index-theory
What is the relation between Courant algebroids and gerbes?
dg.differential-geometry
higher-category-theory
gerbes
lie-algebroids
Invariant differential operators on real Grassmannians
reference-request
dg.differential-geometry
rt.representation-theory
symmetric-spaces
How is differential geometry used in immediate industrial applications and what are some sources to learn about it?
dg.differential-geometry
applications
applied-mathematics
mathematical-modeling
holonomy of connection on gerbes
dg.differential-geometry
connections
curvature
gerbes
holonomy
Regularity of Hodge Laplacian on bounded domains
reference-request
dg.differential-geometry
elliptic-pde
hodge-theory
regularity
Distance function to $\Omega\subset\mathbb{R}^n$ differentiable at $y\notin\Omega$ implies $\exists$ unique closest point
dg.differential-geometry
real-analysis
Isn't the quantomorphism group really just the "WKB-quantomorphism" group?
dg.differential-geometry
lie-groups
lie-algebras
sg.symplectic-geometry
quantization
Osculating conics in normal sections of a surface: how to generalize Euler's equation?
dg.differential-geometry
exactness of a 1-form
dg.differential-geometry
differential-calculus
Properties of harmonic maps into spheres
dg.differential-geometry
riemannian-geometry
elliptic-pde
flows
What is the characteristic property of surjective submersions?
dg.differential-geometry
Name and Properties of Quaternions Related to 3D Differential Geometry
dg.differential-geometry
quaternions
Proof of Chow's theorem in special case
ag.algebraic-geometry
dg.differential-geometry
complex-geometry
Is there a Poincare-Hopf Index theorem for non compact manifolds?
differential-equations
dg.differential-geometry
mp.mathematical-physics
When is Cheng-Li-Yau heat kernel bound optimal?
dg.differential-geometry
sg.symplectic-geometry
geometric-analysis
Cohomological bounds for scalar curvature of an extremal Kähler metric
ag.algebraic-geometry
dg.differential-geometry
complex-geometry
kahler-manifolds
Connection on a Principal bundle and transition functions, as in Hitchin's notes
dg.differential-geometry
gerbes
Compact manifolds which do not admit a diffeomorphism with a dense orbit
dg.differential-geometry
ds.dynamical-systems
Index formula with nonisolated fixed points
dg.differential-geometry
lie-groups
sg.symplectic-geometry
index-theory
torus-action
Length decreasing homotopies of curves
reference-request
dg.differential-geometry
riemannian-geometry
geodesics
Intuition behind the "Lapse Function"
dg.differential-geometry
mg.metric-geometry
mp.mathematical-physics
general-relativity
Trivializations of gerbes as generalisation of trivializations of line bundles
dg.differential-geometry
gerbes
$SU(2)\times SU(2)$ invariant $SU(3)$-structure on $\{t\} \times M^6$
dg.differential-geometry
riemannian-geometry
invariant-theory
principal-bundles
holonomy
Canonical map in the direct image of $\mathscr{D}_X$
dg.differential-geometry
sheaf-theory
sheaf-cohomology
d-modules
Lower regularity version of Moser's theorem on volume elements
reference-request
dg.differential-geometry
Can all contours of a function on a disk be made arbitrarily small?
dg.differential-geometry
real-analysis
What are Lie groupoids intuitively?
dg.differential-geometry
lie-groups
intuition
groupoids
lie-groupoids
Nice decomposition of surface diffeomorphisms
dg.differential-geometry
gt.geometric-topology
differential-topology
surfaces
Testing for Riemannian Isometry
dg.differential-geometry
riemannian-geometry
isometries
How to optimally distinguish between linearly independent vectors in higher dimensional complex/real space?
dg.differential-geometry
linear-algebra
qa.quantum-algebra
A change of parameters used on Curve Shortening Flow
dg.differential-geometry
flows
Splitting of tangent bundle
at.algebraic-topology
dg.differential-geometry
vector-bundles
cotangent-bundles
Are there any books/articles that apply abstract coordinate free differential geometry to basic thermodynamics?
dg.differential-geometry
gt.geometric-topology
applied-mathematics
Confusion in definition of Gerbes in Hitchin's notes
dg.differential-geometry
gerbes
A cohomology associated to a Riemannian manifold
reference-request
dg.differential-geometry
riemannian-geometry
cohomology
group-cohomology
English translation of paper: Sur les variétés riemanniennes à groupe d'holonomie G2 ou Spin(7)
dg.differential-geometry
riemannian-geometry
holonomy
Gromov-Hausdorff and Lipschitz convergence of a non-collapsing sequence of manifolds with Ricci curvature bounded below
dg.differential-geometry
riemannian-geometry
mg.metric-geometry
What is the distance between two points on the Berger metric of the squashed three-sphere?
dg.differential-geometry
mg.metric-geometry
Eigenvalues of the D'Alembertian operator
dg.differential-geometry
mp.mathematical-physics
sp.spectral-theory
differential-operators
partial-hyperbolicity
semistability of parabolic bundles
ag.algebraic-geometry
dg.differential-geometry
rt.representation-theory
vector-bundles
The holonomy map associated to a mapping torus
dg.differential-geometry
differential-topology
fibre-bundles
monodromy
Branching laws for $SO(n)$
dg.differential-geometry
rt.representation-theory
lie-groups
lie-algebras
K-homology classes of Dirac operators on Hermitian manifolds
dg.differential-geometry
kt.k-theory-and-homology
spin-geometry
pseudo-differential-operators
hermitian-manifolds
Pseudo-differential operators with compactly supported symbols
dg.differential-geometry
fa.functional-analysis
ca.classical-analysis-and-odes
ap.analysis-of-pdes
pseudo-differential-operators
What are good Morse Theory lecture notes and books?
reference-request
dg.differential-geometry
riemannian-geometry
textbook-recommendation
morse-theory
Physical significance of some killing vector fields on a $G_2$ manifold
dg.differential-geometry
mp.mathematical-physics
A curvature description for center condition for quadratic vector field
dg.differential-geometry
riemannian-geometry
ds.dynamical-systems
Diameter of pseudoholomorphic curves
dg.differential-geometry
sg.symplectic-geometry
pseudo-holomorphic-curves
Argument for differentiability of a certain quotient of smooth functions
dg.differential-geometry
real-analysis
Do surjections exist which are not submersions on a set of measure non-zero.
dg.differential-geometry
matrix-valued differential forms on complex manifolds
reference-request
dg.differential-geometry
What is torsion in differential geometry intuitively?
dg.differential-geometry
intuition
torsion
Why differential forms are important?
dg.differential-geometry
soft-question
smooth-manifolds
Aysmptotic comparison of $L^2$ sections versus generating sections
ag.algebraic-geometry
dg.differential-geometry
k-th Pontryagin class of $\Lambda^{2k}_{\pm}$ on an oriented $4k$-manifold
dg.differential-geometry
at.algebraic-topology
rt.representation-theory
riemannian-geometry
characteristic-classes
Explicit formulas for Carnot-Carathéodory distances on Carnot groups
dg.differential-geometry
lie-groups
nilpotent-groups
sub-riemannian-geometry
The mapping degree of a map generated by quadratic polynomials
dg.differential-geometry
gt.geometric-topology
polynomials
differential-topology
Determining all totally geodesic submanifolds of $\mathbb{R}P^N$
dg.differential-geometry
riemannian-geometry
Approximation of a continuous function by a smooth one on an open set
reference-request
dg.differential-geometry
real-analysis
approximation-theory
Must a bending of the cylinder leave the bases planar?
dg.differential-geometry
mg.metric-geometry
vortex moduli compactness and projectivity
ag.algebraic-geometry
dg.differential-geometry
Holonomy of hypercomplex manifold
dg.differential-geometry
holonomy
quaternionic-geometry
Is there a sensible notion of a winding number of a closed curve in $\mathbb{R}^n$, $n\geq 3$, with respect to a point not lying on it?
dg.differential-geometry
at.algebraic-topology
soft-question
differential-topology
Holomorphic spheres in hyperkähler twistor spaces
ag.algebraic-geometry
dg.differential-geometry
complex-geometry
sg.symplectic-geometry
Solution of lift spinor
dg.differential-geometry
sub-riemannian-geometry
dirac-operator
why study Lie algebras?
dg.differential-geometry
lie-groups
lie-algebras
differential-equations
Clifford torus as the fixed point set of an isometry from $S^3\rightarrow S^3$?
dg.differential-geometry
An application of Implicit Function Theorem for Curve Shortening Flow on plane
dg.differential-geometry
flows
implicit-function-theorem
Scalar curvature and warped-product manifolds - intuition
dg.differential-geometry
riemannian-geometry
general-relativity
An estimate on deviation of two smooth tangent $J$-holomorphic curves
reference-request
dg.differential-geometry
cv.complex-variables
complex-geometry
Lipschitz function admits Whitney stratification
dg.differential-geometry
real-analysis
convex-analysis
C*-algebra of a singular surface foliation
dg.differential-geometry
oa.operator-algebras
c-star-algebras
noncommutative-geometry
foliations
The bundle of symmetric affine connections as quotient of the second-order frame bundle
reference-request
dg.differential-geometry
connections
principal-bundles
jets
When is a minimal immersion holomorphic?
dg.differential-geometry
fa.functional-analysis
complex-geometry
harmonic-analysis
Hodge decomposition on open manifold
dg.differential-geometry
fa.functional-analysis
ap.analysis-of-pdes
hodge-theory
References on Gerbes
ag.algebraic-geometry
reference-request
dg.differential-geometry
ct.category-theory
gerbes