Title | Minimal surfaces in pseudohermitian geometry |

Publication Type | Journal Article |

Year of Publication | 2005 |

Authors | Cheng, J-H, Hwang, JF, Malchiodi, A, Yang, P |

Journal | Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), 4 (2005) 129-177. |

Abstract | We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a |

URL | http://hdl.handle.net/1963/4579 |

DOI | 10.2422/2036-2145.2005.1.05 |