Show the parametrized torus is a 2-dimensional smooth submanifold of$\mathbb{R}^3$
78939
Parametrisation of the surface a torus
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
84389
Topologist's Sine Curve not a regular submanifold of $\mathbb{R^2}$?
61307
Consider the surface $S$ in $\mathbb{R}^ 3$ given by the graph of $f(x, y) = xy^2 − 2y^2 + e^x $.
102485
Showing that a topological space is ${\rm T}_1$
87152
The difference between the algebraic torus and the geometric torus
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
106050
Finding a conformal map from the intersection of two disks to the unit disk.
51480
How much of an $n$-dimensional manifold can we embed into $\mathbb{R}^n$?
111838
Prove that a standard torus is diffeomorphic to $ \mathbb S^1\times \mathbb S^1$
37352
The Gaussian and Mean Curvatures of a Parallel Surface
38130
Complex structure on $\mathbb{C}\mathbb{P}^2\# \dots \# \mathbb{C}\mathbb{P}^2$
11319
Is $M=\{(x,|x|): x \in (-1, 1)\}$ not a differentiable manifold?
132063
locally on $S$ one of the coordinates is a $C^∞$ function of the other coordinate. Show that $S$ is a submanifold of $R^2$
80100
Boundary of product manifolds such as $S^2 \times \mathbb R$
82230
Proof of equivalence of conformal and complex structures on a Riemann surface.
72548
Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$