...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematical Proceedings of the Cambridge Philosophical Society >Calibrations and laminations
【24h】

Calibrations and laminations

机译：

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A calibration of degree k is an element of N on a Riemannian manifold M is a closed differential k-form. such that the integral of theta over every k-dimensional, oriented submanifold N is smaller or equal to the Riemannian volume of N. A calibration theta is said to calibrate N if theta restricts to the oriented volume form of N. We investigate conditions on a calibration theta that ensure the existence of submanifolds calibrated by theta. The cases k = 1 and k > 1 turn out to be essentially different. Our main result says that, on a compact manifold M, a calibration theta calibrates a lamination if theta is simple, of class C-1, and if theta has minimal comass norm in its cohomology class.

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号