New posts in differential-geometry

Redundance of the Smoothness of the Inversion Map in the Definition of a Lie Group.

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

How to handle the differential of a vector field, ${\rm d}X:TM\to TTM$, in terms of (equivalence classes of) curves?

differential-geometry vector-bundles vector-fields differential tangent-bundle

How to show the dimensionality of a tangent space defined via equivalence classes of curves?

differential-geometry

Deriving calculation formulas for torsion and curvature

differential-geometry

Picture behind $SO(3)/SO(2)\simeq S^2$

differential-geometry differential-topology

Lie derivative "commutes" with pullback by time dependent diffeomorphisms

geometry differential-geometry manifolds riemannian-geometry smooth-manifolds

Coordinate free proof that curvature is the "square" of the connection

differential-geometry differential-forms

uniqueness of the smooth structure on a manifold obtained by gluing

differential-geometry differential-topology manifolds

Is anyone talking about "ball bundles" of metric spaces?

general-topology differential-geometry reference-request metric-spaces numerical-methods

Wedge product and change of variables

differential-geometry multivariable-calculus exterior-algebra

set of almost complex structures on $\mathbb R^4$ as two disjoint spheres

linear-algebra differential-geometry lie-groups complex-geometry

Homework: closed 1-forms on $S^2$ are exact.

differential-geometry differential-forms

Computing cohomology of hypersurface

differential-geometry homology-cohomology projective-geometry

Geometric and topological ways to define intersection number

differential-geometry algebraic-topology differential-forms

Why Mathematicians and Physicists Approach Integration on Manifolds Differently?

integration differential-geometry manifolds general-relativity

Geometric interpretation of Laplace's formula for determinants

linear-algebra geometry differential-geometry

Abstract Smooth Manifolds vs Embedded Smooth Manifolds

differential-geometry manifolds differential-topology smooth-manifolds

Is there a way to relate convexity to Gaussian curvature?

geometry differential-geometry definition

Existence of closed, non self-intersecting geodesics on compact manifolds

differential-geometry reference-request riemannian-geometry

Topology of "degenerate spectrum submanifold" in the space of hermitian matrices

linear-algebra differential-geometry algebraic-geometry algebraic-topology algebraic-groups