New posts in differential-geometry

Tangent bundles of exotic manifolds

differential-geometry differential-topology vector-bundles

Are closed geodesics the prime numbers of Riemannian manifolds?

number-theory differential-geometry prime-numbers riemannian-geometry big-picture

Chern-Weil: why do we divide by $2\pi$?

differential-geometry algebraic-topology characteristic-classes

Why is the constant relating the chern class and curvature form always $2\pi i$?

differential-geometry fiber-bundles characteristic-classes

Ellipticity of Ricci tensor, does it depend on coordinates?

differential-geometry partial-differential-equations riemannian-geometry general-relativity ricci-flow

Why are parallel vector fields called parallel?

differential-geometry riemannian-geometry

Reconstructing Lie group globally from the exponential map

differential-geometry lie-groups lie-algebras

Show that a smooth map $F : M \rightarrow N$ has Constant rank if $F$ has a linear coordinate representation.

general-topology differential-geometry differential-topology smooth-manifolds connectedness

Tangent space as derivations exercise

differential-geometry manifolds intuition

Impact of Riemannian Geometry on Group Theory

abstract-algebra group-theory differential-geometry manifolds riemannian-geometry

Principal Bundle and Cocycle

differential-geometry category-theory homology-cohomology principal-bundles

References for learning real analysis background for understanding the Atiyah--Singer index theorem

differential-geometry partial-differential-equations reference-request book-recommendation spin-geometry

Does smoothness of left and right multiplication imply smoothness of multiplication?

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

Geometric interpretation of reduction of structure group to $SU(n)$.

algebraic-topology differential-geometry

Existence of geodesic on a compact Riemannian manifold

differential-geometry differential-topology

The inverse of the differential of f inverse

differential-geometry inverse-function diffeomorphism

frustrating experience about differential geometry

differential-geometry manifolds riemannian-geometry

Why is the Riemann curvature tensor the technical expression of curvature?

differential-geometry tensors curvature

What does prolongation mean in differential geometry?

ordinary-differential-equations differential-geometry terminology jet-bundles

Brachistochrone problem with floor restriction

differential-geometry calculus-of-variations plane-curves