Open Access
2001 RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS
Bang-Yen Chen
Taiwanese J. Math. 5(4): 681-723 (2001). DOI: 10.11650/twjm/1500574989

Abstract

The study of Lagrangian submanifolds in K¨ahler manifolds and in the nearly K¨ahler six-sphere has been a very active field over the last quarter of century. In this article we survey the main results done during that period from Riemannian geometric point of view.

Citation

Download Citation

Bang-Yen Chen. "RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS." Taiwanese J. Math. 5 (4) 681 - 723, 2001. https://doi.org/10.11650/twjm/1500574989

Information

Published: 2001
First available in Project Euclid: 20 July 2017

zbMATH: 1002.53053
MathSciNet: MR1870041
Digital Object Identifier: 10.11650/twjm/1500574989

Subjects:
Primary: 50-02 , 53B25 , 53C50 , 53C52
Secondary: 53C38 , 53D12 , 58K25

Keywords: $H$-umbilical Lagrangian submanifold , Complex space form , finite type theory , ideal immersion , Index , Lagrangian catenoid , Lagrangian submanifolds , Maslov class , obstruction , Pinching theorem , stability , totally real submanifold , vanishing theorem

Rights: Copyright © 2001 The Mathematical Society of the Republic of China

Vol.5 • No. 4 • 2001
Back to Top