2010/05/03 by Constantin Călin, Călin, Constantin, Mircea Crâşmăreanu +5
Mathematics · #53C12 #53C40 #53C42 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1005.0184
openalex publication_date 2010/05/03 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
A structure on an almost contact metric manifold is defined as a generalization of well-known cases: Sasakian, quasi-Sasakian, Kenmotsu and cosymplectic. Then we consider a semi-invariant ξ\bot-submanifold of a manifold endowed with such a structure and two topics are studied: the integrability of distributions defined by this submanifold and characterizations for the totally umbilical case. In particular we recover results of Kenmotsu, Eum and Papaghiuc.