New posts in differential-geometry

Second (and higher) derivatives of maps between manifolds

differential-geometry derivatives manifolds

How is the smoothness of the space of deformations related to unobstructedness?

algebraic-geometry differential-geometry complex-geometry deformation-theory

How do we compute Hodge duals?

differential-geometry mathematical-physics electromagnetism

Is every geodesic-preserving diffeomorphism an isometry?

differential-geometry riemannian-geometry symmetry isometry geodesic

Spivak and Invariance of Domain

differential-geometry

Is it possible to formulate variational calculus geometrically?

calculus differential-geometry classical-mechanics

Proof that every Riemannian geodesic is locally minimizing

differential-geometry riemannian-geometry

What does it mean to apply a vector field to a scalar function?

multivariable-calculus differential-geometry manifolds vector-fields

If a smooth manifold X is covered by an odd sphere, then X is orientable.

differential-geometry algebraic-topology differential-topology

Proving that Randers norm is a Minkowski norm

differential-geometry metric-spaces normed-spaces finsler-geometry

Calippo, toothpaste and milk .. packing

geometry differential-geometry surfaces

What are examples of parallelizable complex projective varieties?

algebraic-geometry differential-geometry algebraic-topology manifolds smooth-manifolds

Is a bijective smooth function a diffeomorphism almost everywhere?

real-analysis differential-geometry smooth-manifolds inverse-function

Intuition behind Levi-Civita connection

differential-geometry

Pulling back vector fields

differential-geometry differential-topology

$\mathbb S^3=\mathbb R\mathrm P^3$? Find mistake in the proof.

general-topology differential-geometry solution-verification

Knot with genus $1$ and trivial Alexander polynomial?

algebraic-topology differential-geometry differential-topology knot-theory

$S^2=SO(3)/SO(2)$. Does this mean that $S^2 = SU(2)/U(1) $?

differential-geometry algebraic-topology lie-groups

Volume forms and volume of a smooth manifold

differential-geometry differential-forms volume smooth-manifolds

Constant rank theorem: intuition?

geometry differential-geometry intuition