New posts in differential-geometry

Advice: Algebra and category theory for geometry?

abstract-algebra algebraic-geometry reference-request differential-geometry category-theory

Where does this permutation product live?

combinatorics differential-geometry permutations manifolds exterior-algebra

How to show this property of $\mathbb{RP}^{n}$.

differential-geometry projective-geometry

Is there an infinite dimensional Lie group associated to the Lie algebra of all vector fields on a manifold?

differential-geometry manifolds differential-topology lie-groups lie-algebras

Is a smooth immersion $c: [a,b] \to M$ injective if its image is a 1-manifold with non-empty boundary?

general-topology differential-geometry manifolds differential-topology orientation

Does the Jordan-Brouwer Separation Theorem require smoothness and orientability of the hypersurface?

general-topology geometry differential-geometry manifolds differential-topology

Is the Schwarzschild singularity stretched in space as a straight line?

differential-geometry metric-spaces singularity

Proving that the Hopf map $S^3 \to S^2$ is a submersion

differential-geometry hopf-fibration

Why is the momentum a covector?

differential-geometry mathematical-physics transformation classical-mechanics co-tangent-space

What is the best way to define the tangent space of a manifold?

differential-geometry manifolds tangent-spaces

How Gaussian curvature is affected by a conformal map (using forms)

differential-geometry curvature

Does this interesting property characterize a sphere?

geometry differential-geometry 3d

On defining homology groups

differential-geometry algebraic-topology homology-cohomology

How is the inclusion map both an Immersion and Submersion between Manifolds

differential-geometry manifolds smooth-manifolds inclusion-exclusion tangent-spaces

Relation between exterior derivative and Lie bracket

differential-geometry differential-forms smooth-manifolds vector-fields

Smooth vector field over $S^1$

differential-geometry smooth-manifolds vector-fields

Why are 'differential operators on manifolds' differential operators?

differential-geometry smooth-manifolds mathematical-physics vector-bundles

Vector Bundles Over a Manifold [duplicate]

general-topology differential-geometry

Number of line of curvature meets at one point

differential-geometry

Why is the total derivative of a diffeomorphism invertible?

real-analysis differential-geometry derivatives inverse