New posts in manifolds

Are locally homotopic functions homotopic?

differential-topology manifolds homotopy-theory

Codimension 1 homology represented by Embedded Submanifold

algebraic-topology manifolds

An almost complex structure on real 2-dimensional manifold

manifolds complex-geometry almost-complex

A special parallelization of $S^3$

manifolds differential-topology lie-groups smooth-manifolds

Lie derivative "commutes" with pullback by time dependent diffeomorphisms

geometry differential-geometry manifolds riemannian-geometry smooth-manifolds

Same homology but different fundamental group

algebraic-topology manifolds examples-counterexamples homology-cohomology fundamental-groups

uniqueness of the smooth structure on a manifold obtained by gluing

differential-geometry differential-topology manifolds

Fundmental class of a homology manifold

algebraic-topology manifolds homology-cohomology orientation

Why Mathematicians and Physicists Approach Integration on Manifolds Differently?

integration differential-geometry manifolds general-relativity

Abstract Smooth Manifolds vs Embedded Smooth Manifolds

differential-geometry manifolds differential-topology smooth-manifolds

Is the square pyramid a manifold with corners?

manifolds manifolds-with-boundary

Degree $1$ map from torus to sphere

differential-geometry manifolds differential-topology smooth-manifolds

Is the inclusion map always smooth?

manifolds

Lie algebra $\implies$ Lie group?

ordinary-differential-equations manifolds lie-groups lie-algebras symmetry

Second Stiefel-Whitney Class of a 3 Manifold

algebraic-topology manifolds vector-bundles characteristic-classes

How could a group be a manifold?

group-theory analysis differential-geometry manifolds lie-groups

Why spheres are not symplectic manifolds?

differential-geometry manifolds symplectic-geometry spheres compact-manifolds

Manifold has uncountable many smooth stuctures if it has one

differential-geometry manifolds smooth-manifolds

First proof of Poincaré Lemma

reference-request differential-geometry manifolds homology-cohomology

vector space of all smooth functions has infinite dimension

differential-geometry manifolds