Lorentzian affine hypersurfaces with an almost symplectic form

JOURNAL OF GEOMETRY AND PHYSICS

卷:119

Article

Szancer, Michal¹ 

[1] Gornikow St 21-1, PL-30819 Krakow, Poland

关键词: Affine hypersurface;    Almost symplectic structure;    Symplectic form;    Lorentzian metric;   

DOI  :  10.1016/j.geomphys.2017.05.003

来源: Elsevier

【 摘 要 】

In this paper, we study affine additionally equipped with an shape operator is at most one or del(k)omega = 0 for some positive hypersurfaces with a Lorentzian second fundamental form almost symplectic structure omega. We prove that the rank of the if the hypersurface is of dimension at least 6 and R-k. omega = 0 integer k. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free