On N(k)-Contact Metric Manifolds

• Main Authors: A.A Shaikh, C.S Bagewadi
• Format: Article
• Language: English
• Published: Universidad de La Frontera 2010-01-01
• Series: Cubo
• Subjects: 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
• Online Access: http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100016
• ISSN: 0716-7776; 0719-0646

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.<br>El objetivo del presente artículo es estudiar un tipo de variedades métricas de contacto, llamadas <img border=0 width=44 height=20 src="http://fbpe/img/cubo/v12n1/img43.jpg">variedades métricas de contacto admitiendo un campo de vectores concircular y forma torse. Es demostrado también que tales variedades son o localmente isométricas a productos Riemannianos <img border=0 width=116 height=25 src="http://fbpe/img/cubo/v12n1/img41.jpg">o una variedade Sasakian. Es demostrado que tales variedades métricas de contacto pueden ser expresadas como un producto deformado <img border=0 width=162 height=30 src="http://fbpe/img/cubo/v12n1/img42.jpg">es una variedad <img border=0 width=24 height=17 src="http://fbpe/img/cubo/v12n1/img44.jpg">dimensional.