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Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2009 • Question 1

Question

Math 6510 • Differentiable Manifolds Fall 2009 • Question 1

Very briefly for each, explain why the following spaces are smooth manifolds: \(S^n\), \(\mathbb {P}^n(\mathbb {R})\), \(T^n\), \(\mathrm {SL}_n(\mathbb {R})\), and \(\mathrm {GL}_n(\mathbb {R})\).

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Very briefly for each, explain why the following spaces are smooth manifolds:
\(S^n\), \(\mathbb{P}^n(\R)\), \(T^n\), \(\SL_n(\R)\), and \(\GL_n(\R)\).

Topic Tags

Homotopy and Degree on Manifolds Lie Groups and Matrix Lie Groups Smooth Manifolds and Embedded Submanifolds Stokes' Theorem and Integration on Manifolds