Tangent bundle of $S^2$ not diffeomorphic to $S^2\times \mathbb{R}^2$
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?
105997
Geometric interpretation of $\frac {\partial^2} {\partial x \partial y} f(x,y)$
147547
Any example of manifold without global trivialization of tangent bundle
113915
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$
123235
A smooth vector field on $S^2$ vanishing at a single point
64084
Existence of a simple closed curve which is not null-homotopic
61255
Tangent bundle : is a manifold
132063
locally on $S$ one of the coordinates is a $C^∞$ function of the other coordinate. Show that $S$ is a submanifold of $R^2$
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
39487
Zariski Tangent Space and $k[\varepsilon]/\varepsilon^2$
64993
Connectedness of the $S^2$ sphere
119050
Fundamental group of $S^2$ with north and south pole identified
154496
Proving that the Hopf map $S^3 \to S^2$ is a submersion
26749
$\mathbb{Z}[X]/(X^2-1)$ is not isomorphic with $\mathbb{Z}\times \mathbb{Z}$
45276
Continuous map on $S^2$
149593
Global sections of a tensor product of vector bundles on a smooth manifold
16517
Arcwise connected part of $\mathbb R^2$