$S^2 \times S^2$ diffeomorphic to oriented $2$ dimensional vector subspaces of $\mathbb{R}^2$?
119579
$S^2 \times S^2$ is diffeomophic to $G_2(\mathbb{R}^4)$
151735
$\mathbb{R}^3 \setminus A$ deformation retracts onto $S^1 \vee S^2$
115368
Diagonal Subspace of Cartesian Product
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?
148633
Description of varieties in $\mathbb{P}^2\times \mathbb{P}^1$
125212
How to Show that the Only Subspaces of $R^2$ are the zero subspace, $R^2$ itself, and the lines through the origin
88728
Dimensions of vector subspaces in a direct sum are additive
96567
Immersion of $\mathbb{R}$ to $\mathbb{R}^2$
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
123235
A smooth vector field on $S^2$ vanishing at a single point
32765
$\mathbb{C}\mathbb{P}^1$ is homeomorphic to $S^2$
38378
$M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
80100
Boundary of product manifolds such as $S^2 \times \mathbb R$
137093
What is the codimension of matrices of rank $r$ as a manifold?
6227
Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
90525
The subspace of $\ell_2$