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

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Atıf İçin Kopyala

KÜPELİ ERKEN İ., MURATHAN C.

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, cilt.55, sa.1, ss.43-58, 2014 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 55 Sayı: 1
• Basım Tarihi: 2014
• Doi Numarası: 10.1007/s13366-013-0148-4
• Dergi Adı: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.43-58
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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".