Minimizing deformation of Legendrian submanifolds in the standard sphere

Hông Vân Lê

Contact the author: Please use for correspondence this email.
Submission date: 02. Sep. 2002 (revised version: August 2003)
Pages: 32
published in: Differential geometry and its applications, 21 (2004) 3, p. 297-316 
DOI number (of the published article): 10.1016/j.difgeo.2004.05.004
Bibtex
MSC-Numbers: 58E15
Keywords and phrases: minimal legendrian submanifolds, minimizing deformation
Download full preprint: PDF (275 kB), PS ziped (227 kB)

Abstract:
In this note we study the moduli space of minimal Legendrian submanifolds in the standard sphere. We suggest to find new examples by solving a certain equation for a function on a nearby glued Legendrian submanifolds, or by deforming glued Legendrian submanifolds along a volume decreasing flow. A new neccesary condition for a Lagrangian embedding into is given.