New posts in manifolds

Example of two atlases on a manifold $M$ which give rise to different sets of smooth functions on $M$.

differential-geometry manifolds differential-topology smooth-manifolds

Residual Finiteness of Fundamental Groups of Seifert Fibered Spaces

group-theory algebraic-topology manifolds

Is every topological manifold completely metrizable?

general-topology manifolds

Homology group of $X=\operatorname{SL}(2,\mathbb{R})/\operatorname{SL}(2,\mathbb{Z})$

abstract-algebra group-theory algebraic-topology manifolds homology-cohomology

How to show a level set isn't a regular submanifold

manifolds

Homology and cohomology of 7-manifold

differential-geometry algebraic-topology manifolds homology-cohomology orientation

Normal Bundle is Trivial

differential-geometry manifolds vector-bundles

how to calculate the curvature of an ellipse

differential-geometry manifolds self-learning

Distinguishing the Cylinder from a "full-twist" Möbius strip

manifolds differential-topology curvature

K. Janich, Vector Analysis, Chapter 3 Test

manifolds vector-analysis differential-forms

The differential of the inclusion map is the inclusion map of tangent spaces.

differential-geometry manifolds differential-topology

Difference between Grassmann and Stiefel manifolds

optimization manifolds grassmannian stiefel-manifolds

How do we obtain a chart for the sphere $\{x:\|x\|=1\}$ from a chart of the ball $\{x:\|x|\le1\}$?

differential-geometry manifolds differential-topology smooth-manifolds manifolds-with-boundary

What are the "technical troubles" with using a metric space rather than a topological space when defining an abstract manifold? (As in Spivak)

manifolds smooth-manifolds

Manifold and maximal atlas

manifolds

How many charts are needed to cover a 2-torus?

manifolds

Proof of whitney's embedding theorem?

differential-geometry manifolds

Tangent bundle : is a manifold

manifolds vector-bundles

Can any smooth manifold be realized as the zero set of some polynomials?

algebraic-geometry differential-topology manifolds

Converse To Quotient Manifold Theorem [Exercise in Lee Smooth Manifolds]

differential-geometry manifolds differential-topology