On N(k)-Contact Metric Manifolds

The object of the present paper is to study a type of contact metric manifolds, called <img border=0 width=44 height=20 src="http:/fbpe/img/cubo/v12n1/img43.jpg">contact metric manifolds admitting a non-null concircular and torse forming vector field. Among others it is shown that su...

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Autores principales:	Shaikh,A.A, Bagewadi,C.S
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:	Contact metric manifold k-nullity distribution <img border=0 width=44 height=20 src="http:/fbpe/img/cubo/v12n1/img43.jpg">contact metric manifold concircular vector field torse forming vector field n-Einstein Sasakian manifold warped product
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100016
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spelling	oai:scielo:S0719-064620100001000162018-10-08On N(k)-Contact Metric ManifoldsShaikh,A.ABagewadi,C.S Contact metric manifold k-nullity distribution <img border=0 width=44 height=20 src="http:/fbpe/img/cubo/v12n1/img43.jpg">contact metric manifold concircular vector field torse forming vector field n-Einstein Sasakian manifold warped product The object of the present paper is to study a type of contact metric manifolds, called <img border=0 width=44 height=20 src="http:/fbpe/img/cubo/v12n1/img43.jpg">contact metric manifolds admitting a non-null concircular and torse forming vector field. Among others it is shown that such a manifold is either locally isometric to the Riemannian product <img border=0 width=116 height=25 src="http:/fbpe/img/cubo/v12n1/img41.jpg">or a Sasakian manifold. Also it is shown that such a contact metric manifold can be expressed as a warped product <img border=0 width=162 height=30 src="http:/fbpe/img/cubo/v12n1/img42.jpg">is a <img border=0 width=24 height=17 src="http:/fbpe/img/cubo/v12n1/img44.jpg">dimensional manifold.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100016en10.4067/S0719-06462010000100016
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Contact metric manifold k-nullity distribution <img border=0 width=44 height=20 src="http:/fbpe/img/cubo/v12n1/img43.jpg">contact metric manifold concircular vector field torse forming vector field n-Einstein Sasakian manifold warped product
spellingShingle	Contact metric manifold k-nullity distribution <img border=0 width=44 height=20 src="http:/fbpe/img/cubo/v12n1/img43.jpg">contact metric manifold concircular vector field torse forming vector field n-Einstein Sasakian manifold warped product Shaikh,A.A Bagewadi,C.S On N(k)-Contact Metric Manifolds
description	The object of the present paper is to study a type of contact metric manifolds, called <img border=0 width=44 height=20 src="http:/fbpe/img/cubo/v12n1/img43.jpg">contact metric manifolds admitting a non-null concircular and torse forming vector field. Among others it is shown that such a manifold is either locally isometric to the Riemannian product <img border=0 width=116 height=25 src="http:/fbpe/img/cubo/v12n1/img41.jpg">or a Sasakian manifold. Also it is shown that such a contact metric manifold can be expressed as a warped product <img border=0 width=162 height=30 src="http:/fbpe/img/cubo/v12n1/img42.jpg">is a <img border=0 width=24 height=17 src="http:/fbpe/img/cubo/v12n1/img44.jpg">dimensional manifold.
author	Shaikh,A.A Bagewadi,C.S
author_facet	Shaikh,A.A Bagewadi,C.S
author_sort	Shaikh,A.A
title	On N(k)-Contact Metric Manifolds
title_short	On N(k)-Contact Metric Manifolds
title_full	On N(k)-Contact Metric Manifolds
title_fullStr	On N(k)-Contact Metric Manifolds
title_full_unstemmed	On N(k)-Contact Metric Manifolds
title_sort	on n(k)-contact metric manifolds
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100016
work_keys_str_mv	AT shaikhaa onnkcontactmetricmanifolds AT bagewadics onnkcontactmetricmanifolds
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On N(k)-Contact Metric Manifolds

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