New posts in differential-geometry

Show that a $k$-form $\omega$ is smooth if only if it is smooth as map $\omega : M\rightarrow \Lambda ^k(M)$

differential-geometry smooth-manifolds differential-forms

Bijective local isometry to global isometry

differential-geometry metric-spaces differential-topology metric-geometry

$\{(x,y)\!\in\!\mathbb{B}^n; -\varepsilon\leq-\|x\|^2\!+\!\|y\|^2\leq\varepsilon\}\approx\mathbb{B}^k\!\times\!\mathbb{B}^{n-k}$

general-topology algebraic-topology differential-geometry differential-topology geometric-topology

Total mean curvature in $L^2$ and minimal surfaces in spaces with non-positive sectional curvature

differential-geometry partial-differential-equations riemannian-geometry curvature minimal-surfaces

Hodge Star Operator

differential-geometry differential-forms mathematical-physics

The tangent space of a manifold at a point given as the kernel of the jacobian of a submersion

linear-algebra differential-geometry manifolds

Effect of pullback of differential forms on an ideal

reference-request differential-geometry partial-differential-equations self-learning exterior-algebra

Submanifolds as images of immersions

differential-geometry

A doubt about a proof of the dimension of tangent space in Guillemin and Pollack's book

differential-geometry proof-explanation smooth-manifolds

Does the Tangent Space Vary Continuously with The Points On a Manifold?

differential-geometry manifolds grassmannian

Projection of fiber bundle is a submersion

geometry differential-geometry riemannian-geometry vector-bundles fiber-bundles

Differential geometry: restriction of differentiable map to regular surface is differentiable

calculus differential-geometry surfaces

What is the definition of a complex manifold with boundary?

differential-geometry

Proving that $N$ is a manifold.

differential-geometry differential-topology smooth-manifolds

Computing the Fubini-Study metric in affine chart

differential-geometry riemannian-geometry complex-geometry projective-space kahler-manifolds

Clarification on the meaning of dx in the integral and differential setting

integration differential-geometry lebesgue-integral smooth-manifolds differential-forms

Naturality of tensors in Differential Geometry

differential-geometry soft-question tensors motivation

Relations between distance function and gradient on a Riemannian manifold

differential-geometry riemannian-geometry

Christoffel symbols vanish in a system of normal coordinates.

differential-geometry

closed but not exact

differential-geometry