New posts in smooth-manifolds

Lie derivative "commutes" with pullback by time dependent diffeomorphisms

geometry differential-geometry manifolds riemannian-geometry smooth-manifolds

Question on Proposition 17.5 in John Lee's Smooth Manifolds

algebraic-topology smooth-manifolds

Abstract Smooth Manifolds vs Embedded Smooth Manifolds

differential-geometry manifolds differential-topology smooth-manifolds

Degree $1$ map from torus to sphere

differential-geometry manifolds differential-topology smooth-manifolds

When is the Composite with Cube Root Smooth

calculus real-analysis derivatives smooth-manifolds

Metric induced on linear group orbit is Riemannian homogeneous

representation-theory riemannian-geometry lie-groups smooth-manifolds isometry

A manifold with $\pi_1 = \pi_2 = \pi_4 = 0, \pi_3 = \mathbb{Z}$

algebraic-topology smooth-manifolds

What are examples of parallelizable manifolds, and why does parallelizable correspond to $TM$ being trivial?

multivariable-calculus differential-geometry differential-topology vector-analysis smooth-manifolds

Understanding the orientable double cover

differential-topology smooth-manifolds orientation

Manifold has uncountable many smooth stuctures if it has one

differential-geometry manifolds smooth-manifolds

Why $\mathbb{RP}^2$ can not be embedded to $\mathbb{R}^3$?

differential-geometry algebraic-topology manifolds smooth-manifolds characteristic-classes

The integral of a function on manifold and differential form

differential-geometry manifolds differential-forms smooth-manifolds

Continuous map of differentiable manifolds is differentiable if differentiable functions pull back to differentiable functions

differential-geometry algebraic-geometry manifolds smooth-manifolds

Distinction between Lie Algebra of differentiable manifolds and Lie Algebra of Lie Group

manifolds lie-groups lie-algebras smooth-manifolds vector-fields

Prove that Hopf maps on $S^3, S^2$ and $\mathbb{C} \mathbb{P}^1$ are smooth submersions

differential-geometry manifolds smooth-manifolds projective-space

What does a nonsymmetric connection on $\Bbb R^n$ look like?

metric-spaces differential-topology riemannian-geometry smooth-manifolds

A collection of smooth manifolds with intersection property

riemannian-geometry smooth-manifolds combinatorial-geometry

What does it mean to say a diagram commutes?

category-theory smooth-manifolds

Recovering connection from parallel transport

differential-geometry manifolds smooth-manifolds connections

Is there a way to associate a Lie algebra to the group of diffeomorphisms?

differential-geometry lie-groups lie-algebras smooth-manifolds