On the Spectrum of the Laplacian Operators on Minimal Submanifolds
Received:November 20, 1993  
Key Words: minimal submanifold   Laplacian operators   spectrum   totally geodesic.  
Fund Project:
Author NameAffiliation
Qu Chengqin Naval Electronic Engineering college
Nanjing 211800 
Ouyang Chongzhen Nanchang University
Nanchang 330047 
Hits: 2201
Download times: 1587
Abstract:
      In the present paper we discuss the spectrum of Laplacian on minimal submanifolds of Sｎ＋ｐ(1) or CPｎ＋1, and prove that the totally geodesic minimal submanifold of Sｎ＋ｐ(1) and the Kaehler hypersurface of CPｎ＋1 have been uniquely characterized by spectrum of q-forms of the Laplacian on them.
Citation:
DOI:10.3770/j.issn:1000-341X.1996.03.011
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.