JOURNAL ARTICLE

Kaehlerian Manifolds on Einstein-Recurrent curvature tensor

Abstract

Bochner (1949) obtained some results on curvature and betti numbers. Hasegawa (1974) studied on H projective recurrent Kaehlerian manifolds and Bochner recurrent Kaehlerian manifolds. Also, Negi (2016) obtained Some Recurrence Properties in Kaehlerian, Einstein Kaehlerian and Tachibana Spaces. After that, Negi et. al. (2019) studied on Projective recurrent and symmetric tensor in almost Kaehlerian spaces. Again, Negi and Sulochana (2021) have studied on conformal symmetric tensor of kaehlerian manifolds. In this paper, the author calculated some properties of Kaehlerian Manifolds on Einstein-Recurrent curvature tensor and computes the relations between special type curvature tensors

Keywords:
Riemann curvature tensor Pure mathematics Einstein tensor Ricci decomposition Ricci-flat manifold Weyl tensor Mathematics Curvature Tensor (intrinsic definition) Einstein Curvature of Riemannian manifolds Mathematical physics Mathematical analysis Sectional curvature Scalar curvature Geometry

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Topics

Black Holes and Theoretical Physics
Physical Sciences →  Physics and Astronomy →  Nuclear and High Energy Physics
Geometric Analysis and Curvature Flows
Physical Sciences →  Mathematics →  Applied Mathematics
Tensor decomposition and applications
Physical Sciences →  Mathematics →  Computational Mathematics

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