CERTAIN CURVATURE CONDITIONS ON (k; ¹)-PARACONTACT METRIC SPACES

Author:

UYGUN Pakize1,DİRİK Süleyman2,ATÇEKEN Mehmet3ORCID,MERT Tuğba4

Affiliation:

1. TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİ

2. AMASYA ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ

3. AKSARAY ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ

4. CUMHURİYET ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ

Abstract

The aim of this paper is to classify (k; ¹)-paracontact metric spaces satisfying certain curvature conditions. We present the curvature tensors of (k,¹)- Paracontact manifold satisfying the conditions R ¢ W6 = 0, R ¢ W7 = 0, R ¢ W8 = 0 and R ¢ W9 = 0. According these cases, (k; ¹)-Paracontact manifolds have been characterized. Several results are also obtained.

Publisher

Communications in Advanced Mathematical Sciences

Subject

General Medicine

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