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A General Type of Almost Contact Manifolds

EUREKA: Social and Humanities

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Title A General Type of Almost Contact Manifolds
 
Creator Ioan, Catalin Angelo; Danubius University of Galati
 
Subject manifolds Sasakian, Kenmotsu manifolds, metric manifold. RK-manifolds, Kähler manifold, geodesic submanifolds
General Economics
 
Description Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors. The purpose of this paper is to obtain a class of almost contact manifolds which will generalize the above manifolds. The paper generalizes the RK-manifolds introduced by Lieven Vanhecke. I give some results concerning the submanifolds of these spaces, the behaviour of these submanifolds at conformal, projective and concircular transformations. Also I obtain a similar result with those on RK-manifolds but in a form a little weaker when they satisfy the axiom of 2p+1-coholomorphic spheres.
 
Publisher Danubius University of Galati, Romania
 
Contributor
 
Date 2010-04-22
 
Type
 
Format application/pdf
 
Identifier http://journals.univ-danubius.ro/index.php/oeconomica/article/view/15
 
Source Acta Universitatis Danubius. Œconomica; Vol 1, No 1 (2005)
 
Language en
 
Rights The author fully assumes the content originality and the holograph signature makes him responsible in case of trial.