New posts in smooth-manifolds

Metric Isometry is always smooth?

metric-spaces riemannian-geometry smooth-manifolds metric-geometry

Removing a point from a sphere

differential-geometry differential-topology smooth-manifolds

Show that a submersion is open

manifolds smooth-manifolds

How to prove that a left-invariant metric on a Lie group is smooth?

differential-topology lie-groups riemannian-geometry smooth-manifolds smooth-functions

Proof of Cartan lemmma : why are the coefficients smooth?

differential-geometry smooth-manifolds differential-forms

Is there a retraction of a non-orientable manifold to its boundary?

differential-geometry manifolds differential-topology smooth-manifolds

Show this function defined on a smooth manifold is (not) smooth

manifolds differential-topology smooth-manifolds smooth-functions

Two atlases on a manifold $M$ are equivalent if and only if they determine the same set of smooth functions $f:M\rightarrow\mathbb{R}$

differential-geometry manifolds smooth-manifolds

Since the Curvature tensor depends on a connection (not metric), is it the relevant quantity to characterize the curvature of Riemannian manifolds?

differential-geometry riemannian-geometry smooth-manifolds curvature affine-geometry

Space of smooth structures

smooth-manifolds complex-geometry

Proving The Extension Lemma For Vector Fields On Submanifolds

differential-geometry smooth-manifolds vector-fields submanifold

Could exists a vector field on $\mathbb{S}^{2}$ with exactly $n$ zeroes?

differential-geometry smooth-manifolds vector-fields spheres compact-manifolds

How to use Stokes theorem in the presence of holes?

reference-request smooth-manifolds differential-forms stokes-theorem

Degree of smooth map (between same-dimensional manifolds) expressed in two ways

differential-geometry differential-topology smooth-manifolds de-rham-cohomology

What is the dimension of $M/G$ if it is a manifold?

general-topology differential-geometry differential-topology lie-groups smooth-manifolds

Redundance of the Smoothness of the Inversion Map in the Definition of a Lie Group.

differential-geometry differential-topology lie-groups smooth-manifolds

push forward of differential form/ integration over fiber

algebraic-topology differential-forms smooth-manifolds

Visual intuition for direct sum vs. tensor product of vector spaces

intuition tensor-products smooth-manifolds visualization direct-sum

A special parallelization of $S^3$

manifolds differential-topology lie-groups smooth-manifolds

example for calculation of the exterior derivative

smooth-manifolds differential-forms exterior-derivative