calculus on manifolds (spivak) problem 2-41 (c)
58813
Computing $\max_{1/2 \leq x \leq 2} ( \min_{1/3 \leq y \leq 1} f(x,y) )$ where $f(x,y) = x(y \log y - y) - y \log x$.
15586
Volume of the torus with an integral
83874
Prove that Hopf maps on $S^3, S^2$ and $\mathbb{C} \mathbb{P}^1$ are smooth submersions
124488
Spivak Chapter 2, problems 27 (and 28)
76937
Is there an elementary way to see that there is only one complex manifold structure on $R^2$?
118064
Homogeneous riemannian manifolds are complete. Trouble understanding proof.
44955
Can $\mathbb CP^n$ be the boundary of a compact manifold?
76428
Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
66185
condition for curve on a sphere
105293
Proof of the second symmetric derivative
128410
Showing that the set of fixed points is a smooth manifold
66073
find the general integral manifolds of a given distribution
86993
Differentiable injective function betweem manifolds
62950
Use implicit function theorem to show $O(n)$ is a manifold
107473
proof that on a compact manifold a vector field is complete
21198
Proving that the general linear group is a differentiable manifold
36519
Explicit example of a compact manifold of dimension $>2$ with strictly negative sectional curvature