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QUASI-CONFORMAL CURVATURE TENSOR ON N (k)-QUASI EINSTEIN MANIFOLDS

Avijit Sarkar|Dipankar Hazra
κ°•μ›κ²½κΈ°μˆ˜ν•™νšŒ (The Kangweon-Kyungki Mathematical Society)|2021.12|ν•œκ΅­μˆ˜ν•™λ…Όλ¬Έμ§‘ (Korean Journal of Mathematics)|제29ꢌ 제4호|pp. 801-810

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quasi-conformal curvature tensorquasi-Einstein manifoldsk-nullity distributionN(k)-quasi EinsteinmanifoldsC βˆ— -pseudosymmetric
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초둝

This paper deals with the study of N (k)-quasi Einstein manifolds that satisfies the certain curvature conditions π’ž*Β·π’ž* = 0, π“’Β·π’ž* = 0 and R β‹… C βˆ— = f ~ Q ( g , C βˆ— ) , where π’ž*, 𝓒 and 𝓑 denotes the quasi-conformal curvature tensor, Ricci tensor and the curvature tensor respectively. Finally, we construct an example of N (k)-quasi Einstein manifold.

Abstract

This paper deals with the study of N (k)-quasi Einstein manifolds that satisfies the certain curvature conditions π’ž*Β·π’ž* = 0, π“’Β·π’ž* = 0 and R β‹… C βˆ— = f ~ Q ( g , C βˆ— ) , where π’ž*, 𝓒 and 𝓑 denotes the quasi-conformal curvature tensor, Ricci tensor and the curvature tensor respectively. Finally, we construct an example of N (k)-quasi Einstein manifold.

μ°Έκ³ λ¬Έν—Œ (20)

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