New posts in differential-geometry

Infinite dimensional constant rank theorem

reference-request differential-geometry banach-spaces manifolds

Why we wonder to know all derivations of an algebra?

linear-algebra differential-geometry

basic differential forms

differential-geometry differential-topology fiber-bundles

Intuition of Chern-Weil theory

differential-geometry algebraic-topology characteristic-classes principal-bundles

is this set a regular surface?

differential-geometry surfaces

Lie derivative $\mathcal{L}_XJ(Y)$ with endomorphism $J$

differential-geometry manifolds smooth-manifolds complex-geometry

Concrete example of the Lie derivative of a one-form

analysis differential-geometry differential-forms lie-derivative

Topological rings which are manifolds

algebraic-topology differential-geometry topological-groups

A doubt about a proof of chain rule for smooth functions between smooth manifolds

differential-geometry proof-explanation smooth-manifolds chain-rule

Volume form on a sphere.

differential-geometry differential-topology

Do oriented null cobordant manifolds admit spin structures?

differential-geometry algebraic-topology differential-topology geometric-topology spin-geometry

Example of two atlases on a manifold $M$ which give rise to different sets of smooth functions on $M$.

differential-geometry manifolds differential-topology smooth-manifolds

Equivalence of definitions of tangent space

differential-geometry

Tensors as matrices vs. Tensors as multi-linear maps

abstract-algebra soft-question differential-geometry homology-cohomology tensors

Most succinct proof of the uniqueness and existence of the Levi-Civita connection.

differential-geometry riemannian-geometry connections

Some possible mistakes in Bott and Tu [closed]

differential-geometry algebraic-topology

Definition of covering (deck) transformation for smooth manifolds: Are they diffeomorphisms?

differential-geometry algebraic-topology riemannian-geometry covering-spaces

Show that curvature and torsion are $κ = \frac{\left|γ'∧γ''\right|}{\left|γ'\right|^3}$ and $\tau = \frac{(γ'∧γ'')\cdot γ'''}{\left|γ'∧γ''\right|^2}$

differential-geometry

Numerical way to solve for the curvature of a curve

differential-geometry numerical-methods curvature

What is the difference between intrinsic and extrinsic curvature?

general-relativity differential-geometry curvature geometry