New posts in smooth-manifolds

Is there any noncompact manifold with the fixed point property?

manifolds differential-topology smooth-manifolds fixed-point-theorems fixed-points

Prove the existence of such an immersion

analysis manifolds smooth-manifolds vector-fields

Is the interior of a smooth manifold with boundary connected?

differential-topology smooth-manifolds

Is $f^{-1}(1)$ a submanifold of $\Bbb S^2\times \Bbb S^2$?

differential-geometry smooth-manifolds submanifold

Newton iteration on Riemannian manifolds

differential-geometry riemannian-geometry smooth-manifolds

How is the directional derivative used to determine the tangent map?

differential-geometry vector-spaces lie-groups smooth-manifolds smooth-functions

Is the cuspidal cubic $\{y^2 = x^3\} \subset \Bbb R^2$ not smooth?

geometry differential-geometry manifolds smooth-manifolds singularity

Characterization of $\mathbb{R}^n$?

manifolds differential-topology smooth-manifolds geometric-topology

Tangent bundle of sphere as a complex manifold

differential-geometry manifolds differential-topology smooth-manifolds

Is the image of the map $A \to \bigwedge^{k}A $ an embedded submanifold of $\text{GL}(\bigwedge^{k}V)$?

linear-algebra differential-topology smooth-manifolds exterior-algebra submanifold

What are examples of parallelizable complex projective varieties?

algebraic-geometry differential-geometry algebraic-topology manifolds smooth-manifolds

Is a bijective smooth function a diffeomorphism almost everywhere?

real-analysis differential-geometry smooth-manifolds inverse-function

How to see that SL(2,C) is simply connected?

algebraic-topology lie-groups smooth-manifolds

Volume forms and volume of a smooth manifold

differential-geometry differential-forms volume smooth-manifolds

Was the Lie bracket once called the Poisson bracket? (Milnor's Morse Theory)

terminology smooth-manifolds math-history morse-theory

Can $\mathbb C P^4$ be smoothly embedded in $\mathbb R^{12}$?

algebraic-topology manifolds differential-topology smooth-manifolds

Are there exotic balls?

general-topology algebraic-topology manifolds smooth-manifolds geometric-topology

Is every diffeomorphism an element of a one parameter group of diffeomorphims?

smooth-manifolds

How is the inclusion map both an Immersion and Submersion between Manifolds

differential-geometry manifolds smooth-manifolds inclusion-exclusion tangent-spaces

Relation between exterior derivative and Lie bracket

differential-geometry differential-forms smooth-manifolds vector-fields