(\kappa ,\mu ,\upsilon =const.) -contact metric manifolds with \xi (I_{M})=0

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KÜPELİ ERKEN İ., MURATHAN C.

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, vol.55, no.1, pp.43-58, 2014 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 55 Issue: 1
• Publication Date: 2014
• Doi Number: 10.1007/s13366-013-0148-4
• Journal Name: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.43-58
• Bursa Uludag University Affiliated: Yes

Abstract

We give a local classification of (kappa, mu, upsilon = const.)-contact metric manifold (M, phi, xi, eta, g) with kappa < 1 which satisfies the condition" the Boeckx invariant function I-M = 1-mu/2/root 1-kappa is constant along the integral curves of the characteristic vector field xi".