New posts in differential-geometry

Eigenfunctions of the Laplace-Beltrami operator of a torus

analysis differential-geometry fourier-analysis

What is the dimension of this Grassmannian?

linear-algebra matrices algebraic-geometry differential-geometry lie-groups

Can speed be defined for a parametrized but irregular curve in a Riemannian manifold?

general-topology proof-verification differential-geometry manifolds riemannian-geometry

Definition of the hessian as a bilinear functional on the tangent space

differential-geometry differential-topology

Differential form on $S^1$

differential-geometry smooth-manifolds differential-forms

Pullbacks and isomorphisms of vector bundles

differential-geometry algebraic-geometry vector-bundles

On a definition of manifold

differential-geometry riemannian-geometry math-history

Does positive definite Hessian imply the Jacobian is injective?

real-analysis multivariable-calculus differential-geometry

Covariant derivative ambiguity

differential-geometry connections

A submersion $f: S^2 \rightarrow \mathbb{R}^2$

differential-geometry

Geodesic convexity and the 2nd fundamental form

geometry differential-geometry manifolds riemannian-geometry

Jacobian matrix rank and dimension of the image

differential-geometry

Holonomy of Lie groups

differential-geometry lie-groups riemannian-geometry holonomy

How to estimate the size of the neighborhoods in the Inverse Function Theorem

multivariable-calculus differential-geometry inverse

Non surjectivity of the exponential map to GL(2,R)

linear-algebra differential-geometry lie-groups

Pushforward of the vector field $\dfrac{d}{dx}$ by exponential, i.e $exp_{*}\dfrac{d}{dx}$ = $x\dfrac{d}{dx}$ on $R_{+}^*$

differential-geometry smooth-manifolds vector-fields pushforward

geodesic computation: "energy" minimization versus arc length minimization

differential-geometry

Smoothness of a manifold implies all maps of its altas' charts are diffeomorphism?

differential-geometry solution-verification smooth-manifolds diffeomorphism

Homeomorphism between the unit disc and the unit square

general-topology differential-geometry algebraic-topology elementary-functions

How to prove the space of divergence-free vector fields on a manifold is infinite dimensional?

differential-geometry smooth-manifolds volume differential-forms divergence-operator