Yarı Devirli Ricci Simetrik Manifoldlar Üzerine

Abstract

Özet: Bu makalenin amacı, konsirkular simetrik (PCRS)n, konsirkular tekrarlı (PCRS)n, ayrışabilir (PCRS)n manifoldları incelemektir. (PCRS)n ayrışabilir manifoldunda ayrışımlardan birisinin Ricci düzlemsellik (flat), diğerinin de devirli paralellik olduğu gösterilmiştir. Aynı zamanda (PCRS)n nin tümüyle umbilik hiperyüzeyleri çalışılmıştır.

Keywords

• Konsirkular simetrik manifold,Konsirkular tekrarlı manifold,Ayrışabilir manifold,Yarı devirli Ricci simetrik manifold,Tümüyle umbilik hiperyüzeyler

On Pseudo Cyclic Ricci Symmetric Manifolds

Abstract

Abstract: The object of the present paper is to study concircularly symmetric (PCRS)n, concircularly recurrent (PCRS)n, decomposable (PCRS)n. Among others it is shown that in a decomposable (PCRS)n one of the decompositions is Ricci flat and the other decomposition is cyclic parallel. The totally umbilical hypersurfaces of (PCRS)n are also studied.

Keywords

• Concircularly symmetric manifold,Concircularly recurrent manifold,Decomposable manifold,Pseudo cyclic Ricci symmetric manifold,Totally umbilical hypersurfaces

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