Second Order Parallel Tensor on Almost Kenmotsu Manifolds

Venkatesha, Venkatesha; Naik, Devaraja; Vanli, AYSEL

doi:10.5666/kmj.2021.61.1.191

Second Order Parallel Tensor on Almost Kenmotsu Manifolds

Venkatesha V., Naik D. M., Vanli A.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.61, sa.1, ss.191-203, 2021 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 61 Sayı: 1
Basım Tarihi: 2021
Doi Numarası: 10.5666/kmj.2021.61.1.191
Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
Sayfa Sayıları: ss.191-203
Anahtar Kelimeler: almost Kenmotsu manifold, second order parallel tensor, nullity distribution, homothetic vector field, RICCI SOLITONS, COVARIANT DERIVATIVES, SYMMETRIC TENSORS
Gazi Üniversitesi Adresli: Evet

Özet

Let M be an almost Kenmotsu manifold of dimension 2n + 1 having non-vanishing xi-sectional curvature such that trl > -2n - 2. We prove that any second order parallel tensor on M is a constant multiple of the associated metric tensor and obtained some consequences of this. Vector fields keeping curvature tensor invariant are characterized on M.