Complex and Lagrangian surfaces of the complex projective plane via Kahlerian Killing Spinc spinors

JOURNAL OF GEOMETRY AND PHYSICS

卷:116

Article

Nakad, Roger¹  Roth, Julien² 

[1] Notre Dame Univ Louaize, Fac Nat & Appl Sci, Dept Math & Stat, POB 72, Zouk Mikael, Lebanon

[2] Univ Paris Est Marne La Vallee, LAMA, Cite Descartes, F-77454 Marne La Vallee 2, France

关键词: Spin(c) structures;    Kahlerian Killing Spin(c) spinors;    Isometric immersions;    Complex and Lagrangian surfaces;    The Dirac operator;   

DOI  :  10.1016/j.geomphys.2017.02.005

来源: Elsevier

【 摘 要 】

The complex projective space CP2 of complex dimension 2 has a Spin(c) structure carrying Kahlerian Killing spinors. The restriction of one of these Kahlerian Killing spinors to a surface M-2 characterizes the isometric immersion of M-2 into CP2 if the immersion is either Lagrangian or complex. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free