Title: On Einstein Lagrangian submanifolds of a complex projective space
Abstract: In the present paper we study Einstein Lagrangian submanifolds. We show that if M is a complete Einstein Lagrangian minimal submanifold of a complex projective space CPn(c), then M is parallel and M is one of the following conditions holds: a) M is totally geodesic, b) n = 2 and M is a finite Riemannian covering of a torus minimally embedded in CP2(c) with parallel second fundamental form, c) n > 2 and M is an embedded submanifold congruent to the standard embedding of: SU(3)/SO(3),n = 5;SU(3),n = 8;SU(6)/Sp(3),n = 14 or E6/F4,n = 26. We also study a compact Einstein Kaehler submanifold of a complex projective space.
Publication Year: 2004
Publication Date: 2004-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 1
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot