### 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 |

### Fingerprint

### Keywords

- Exponential map
- Principal curvature

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

^{P}willmore functionals.

*Proceedings of the American Mathematical Society*,

*127*(2), 569-575.

**L ^{P} willmore functionals.** / Cai, MingLiang.

Research output: Contribution to journal › Article

^{P}willmore functionals',

*Proceedings of the American Mathematical Society*, vol. 127, no. 2, pp. 569-575.

^{P}willmore functionals. Proceedings of the American Mathematical Society. 1999 Dec 1;127(2):569-575.

}

TY - JOUR

T1 - LP willmore functionals

AU - Cai, MingLiang

PY - 1999/12/1

Y1 - 1999/12/1

N2 - We prove some integral inequalities for immersed tori in the three sphere. The functional considered are generalizations of the Willmore functional.

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

KW - Exponential map

KW - Principal curvature

UR - http://www.scopus.com/inward/record.url?scp=33646971458&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646971458&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33646971458

VL - 127

SP - 569

EP - 575

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -