New posts in differential-geometry

Concrete Example Illustrating the Interior Product

differential-geometry multilinear-algebra

General form of Integration by Parts

calculus differential-geometry multivariable-calculus

Trying to understand the use of the "word" pullback/pushforward.

algebraic-geometry differential-geometry category-theory

How to interpret tangent vectors on a manifold as derivations?

differential-geometry differential-algebra

Mean curvature in asymptotic directions

differential-geometry curvature

Relationship between $(n - 1)$ forms and flux of a vector field across a hypersurface

calculus differential-geometry vector-analysis differential-forms surface-integrals

How can one prove that manifolds are regular?

general-topology differential-geometry manifolds

Variety vs. Manifold

algebraic-geometry differential-geometry soft-question

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

Can a non-compact manifold have infinite-dimensional cohomology?

differential-geometry homology-cohomology hodge-theory

Do we only get conics when we do the Dupin indicatrix procedure?

differential-geometry

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

Poincaré hyperbolic geodesics in half-plane and disc models including outer branch

differential-geometry calculus-of-variations hyperbolic-geometry

Curvature of planar implicit curves

differential-geometry plane-curves curvature

Proving The Extension Lemma For Vector Fields On Submanifolds

differential-geometry smooth-manifolds vector-fields submanifold

Can a conformal map be turned into an isometry?

differential-geometry riemannian-geometry functional-equations conformal-geometry

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

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

When is a $k$-form a $(p, q)$-form?

differential-geometry complex-geometry

Regular value: intuition about surjectivity condition

differential-geometry manifolds

Apparent counter example to Stoke's theorem?

integration differential-geometry differential-forms