On Submanifolds of (kappa, mu)  Contact Metric Manifolds

Sarkar, Avijit; Ali, Md. Showkat; Biswas, Dipankar

doi:10.3329/dujs.v61i1.15103

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2016

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“…The study of submanifolds of different contact manifolds is carried out from 1970 onwards by several authors, for example [9]- [12], while the study of submanifolds of (k, µ)-contact manifold have been done by Montano et al [13], Avjit Sarkar et al [1], Tripathi et al [16], Siddesha and Bagewadi [14] and others.…”

Section: Introductionmentioning

confidence: 99%

Submanifolds of a (k,μ)-Contact Manifold

Siddesha

Bagewadi

2016

Cubo

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The object of the present paper is to study submanifolds of (k, µ)-contact manifolds. We find the necessary and sufficient conditions for a submanifolds of (k, µ)-contact manifolds to be invariant and anti-invariant. Also, we examine the integrability of the distributions involved in the definition of CR-submanifolds of (k, µ)-contact manifolds. RESUMEN El objeto del presente artículo es estudiar subvariedades de variedades (k, µ)-contacto. Encontramos las condiciones necesarias y suficientes para que subvariedades de variedades (k, µ)-contacto sean invariantes y anti-invariantes. También examinamos la integrabilidad de las distribuciones involucradas en la definición de subvariedades CR de variedades (k, µ)-contacto.

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