Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Can anyone give me a hint or a reference that would help to understand the following result :

The only compact $\mathcal{C}^{\infty}$-submanifold of $\mathbb{R}^3$ of constant curvature $\frac{1}{R}$ is the sphere of radius $R$

Thank you for your answers

share|cite|improve this question

1 Answer 1

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.