?-*-Ricci solitons and paracontact geometry

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Sardar A., De U. C., GEZER A.

JOURNAL OF ANALYSIS, cilt.31, ss.2861-2876, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 31
• Basım Tarihi: 2023
• Doi Numarası: 10.1007/s41478-023-00620-4
• Dergi Adı: JOURNAL OF ANALYSIS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.2861-2876
• Anahtar Kelimeler: ?-*-Ricci solitons, Gradient ?-*-Ricci solitons, Paracontact geometry, Para-Kenmotsu manifolds, para-Sasakian manifolds, REAL HYPERSURFACES
• Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we classify ?-*-Ricci solitons in paracontact geometry. In particular, we characterize (2n + 1)-dimensional para-Kenmotsu manifolds having an ?-*-Ricci soliton and 3-dimensional para-Kenmotsu manifolds admitting a gradient ?-*-Ricci soliton. Next, we classify 3-dimensional para-Sasakian manifolds admitting ?-*- Ricci soliton and gradient ?-*-Ricci soliton. Finally, we construct examples to illustrate our results.