New York Journal of Mathematics
Volume 11 (2005) 157-170

  

Gheorghe Pitiş

Integral submanifolds with closed conformal vector field in Sasakian manifolds


Published: May 30, 2005
Keywords: Sasakian manifold; integral submanifold; Legendrian submanifold; conformal vector field; Maslov form
Subject: 53C42, 53C25, 53D15, 53D12

Abstract
A class of Legendrian submanifolds with closed conformal vector field in Sasakian space forms is studied. The existence of these submanifolds is analyzed and some topological and geometric properties are given. A characterization up to conformal transformation by the Maslov form is also given.

Author information

Department of Differential Equations, Faculty of Mathematics and Informatics, University Transilvania of Braşov, Braşov, Romania
gh.pitis@info.unitbv.ro