### Abstract

We prove some integral inequalities for immersed tori in the three sphere. The functional considered are generalizations of the Willmore functional.

Original language | English (US) |
---|---|

Pages (from-to) | 569-575 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 127 |

Issue number | 2 |

State | Published - Dec 1 1999 |

### Keywords

- Exponential map
- Principal curvature

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

## Fingerprint Dive into the research topics of 'L<sup>P</sup> willmore functionals'. Together they form a unique fingerprint.

## Cite this

Cai, M. (1999). L

^{P}willmore functionals.*Proceedings of the American Mathematical Society*,*127*(2), 569-575.