Riemannian manifolds carrying a pair of skew symmetric conformal vector fields |
| |
Authors: | A. Mihai R. Rosca |
| |
Affiliation: | 1. Faculty of Mathematics, Str. Academiei 14, 70109, Bucharest, Romania 2. 59 Avenue Emile Zola, 75015, Paris, France
|
| |
Abstract: | We deal with a Riemannian manifoldM carrying a pair of skew symmetric conformal vector fields (X, Y). The existence of such a pairing is determined by an exterior differential system in involution (in the sense of Cartan). In this case,M is foliated by 3-dimensional totally geodesic submanifolds. Additional geometric properties are proved. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|