A CLASS OF ALMOST CONTACT METRIC MANIFOLDS AND DOUBLE-TWISTED PRODUCTS

Maria FALCITELLI

Article Details

A CLASS OF ALMOST CONTACT METRIC MANIFOLDS AND DOUBLE-TWISTED PRODUCTS

Authors:

Maria FALCITELLI

Publisher:

Murat TOSUN

Journal:

Mathematical Sciences and Applications E-Notes 2013 Vol.1 Issue 1, pp.36-57

Document Type:

Article

Publication Date:

5/2013

Document Language:

English

Document ID (Org No.):

2000542512

Frequency:

Quarterly

eISSN:

2147-6268

Abstract:

 

We determine the Chinea-Gonzales class of almost contact metricmanifolds locally realized as double-twisted product manifolds I ×(λ1,λ2)F ,I being an open interval, F an almost Hermitian manifold and λ1, λ2smoothpositive functions. Several subclasses are studied. We also give an explicitexpression for the cosymplectic defect of any manifold in the considered classand derive several consequences in dimensions 2n + 1 ≥ 5. Explicit formulasfor two algebraic curvature tensor fields are obtained. In particular cases, thisallows to state interesting curvature relations.

Article Details

A CLASS OF ALMOST CONTACT METRIC MANIFOLDS AND DOUBLE-TWISTED PRODUCTS

Authors: Maria FALCITELLI

Publisher: Murat TOSUN

Journal: Mathematical Sciences and Applications E-Notes 2013 Vol.1 Issue 1, pp.36-57

Document Type: Article

Publication Date: 5/2013

Document Language: English

Document ID (Org No.): 2000542512

Frequency: Quarterly

eISSN: 2147-6268

Issues

Authors:

Maria FALCITELLI

Publisher:

Murat TOSUN

Journal:

Mathematical Sciences and Applications E-Notes 2013 Vol.1 Issue 1, pp.36-57

Document Type:

Article

Publication Date:

5/2013

Document Language:

English

Document ID (Org No.):

2000542512

Frequency:

Quarterly

eISSN:

2147-6268