λ³Έλ¬Έ λ°”λ‘œκ°€κΈ°
KERD
λ…Όλ¬ΈKCI λ“±μž¬

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

2

쑰회

0

λ‹€μš΄λ‘œλ“œ

0

인용

0

μ°Έκ³ λ¬Έν—Œ

ν‚€μ›Œλ“œ

quasi-conformal curvature tensorquasi-Einstein manifoldsk-nullity distributionN(k)-quasi EinsteinmanifoldsC βˆ— -pseudosymmetric
μ£Όμ œλΆ„λ₯˜μˆ˜ν•™

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)

  1. K. Amur, "On quasi-conformally at spaces", Tensor(N.S.),, 31, pp.194~198 (1977)
  2. C. L. Bejan, "Characterization of quasi-Einstein manifolds", An. Stiint. Univ. Al. I. Cuza Iasi. Mat.(NS), 53, pp.67~72 (2007)
  3. M. C. Chaki, "On quasi-Einstein manifolds", Publ. Math. Debrecen, 57, pp.297~306 (2000)
  4. B. Y. Chen, "Special conformally at spaces and canal hypersurfaces", Tohoku Mathematical Journal, 25, pp.177~184 (1973)
  5. M. Crasmareanu, "Parallel tensors and Ricci solitons in N(k)-quasi Einstein manifolds", Indian Journal of Pure and Applied Mathematics, 43, pp.359~369 (2012)
  6. Uday Chand De, "On quasi Einstein manifolds", λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘, 23(3), pp.413~420 (2008), λŒ€ν•œμˆ˜ν•™νšŒ
  7. Avik De, "On a class of N(k)-quasi einstein manifolds", λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘, 26(4), pp.623~634 (2011), λŒ€ν•œμˆ˜ν•™νšŒ
  8. U. C. De, "On quasi Einstein manifolds", Periodica Mathematica Hungarica, 48, pp.223~231 (2004)
  9. P. Debnath, "On quasi-Einstein manifolds and quasi-Einstein spacetimes", Di_er. Geom. Dyn. Syst, 12, pp.73~82 (2010)
  10. R. Deszcz, "On pseudosymmetric space", Bull. Soc. Math. Belg., Ser. A, 44, pp.1~34 (1992)
  11. S. Guha, "On quasi Einstein and generalized quasi Einstein manifolds, Facta universitatis-series:Mechanics", Automatic Control and Robotics, 3, pp.821~842 (2003)
  12. Aliakbar Hosseinzadeh, "ON CONFORMAL AND QUASI-CONFORMAL CURVATURE TENSORS OF AN N(k)-QUASI EINSTEIN MANIFOLD", λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘, 27(2), pp.317~326 (2012), λŒ€ν•œμˆ˜ν•™νšŒ
  13. Sahanous Mallick, "Z Tensor on N(k)-Quasi-Einstein Manifolds", Kyungpook Mathematical Journal, 56(3), pp.979~991 (2016), κ²½λΆλŒ€ν•™κ΅ μžμ—°κ³Όν•™λŒ€ν•™ μˆ˜ν•™κ³Ό
  14. C. Ozgur, "On N(k)-quasi Einstein manifolds satisfying certain conditions", Balkan J. Geom. Appl., 13, pp.74~79 (2008)
  15. C. Ozgur, "On the concircular curvature tensor of an N(k)-quasi Einstein manifold", Math. Pannon, 18, pp.95~100 (2007)
  16. A. Taleshian, "Investigation of Some Conditions on N(k)-quasi Einstein Manifolds", Bulletin of the Malaysian Mathematical Sciences Society, 34, pp.455~464 (2011)
  17. S. Tanno, "Ricci curvatures of contact Riemannian manifolds", Tohoku Mathematical Journal, Second Series, 40, pp.441~448 (1988)
  18. Mukut Mani Tripathi, "On $N(k)$-quasi Einstein manifolds", λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘, 22(3), pp.411~417 (2007), λŒ€ν•œμˆ˜ν•™νšŒ
  19. K. Yano, "Riemannian manifolds admitting a conformal transformation group", Journal of Di_erential Geometry, 2, pp.161~184 (1968)
  20. A. Yildiz, "On some classes of N(k)-quasi Einstein manifolds", Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci, 83, pp.239~245 (2013)

κ΄€λ ¨ λ…Όλ¬ΈAIμΆ”μ²œ

ON CONFORMAL AND QUASI-CONFORMAL CURVATURE TENSORS OF AN N(k)-QUASI EINSTEIN MANIFOLDAbolfazl Taleshian, Aliakbar HosseinzadehλŒ€ν•œμˆ˜ν•™νšŒ Β· λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘2012 Β· 제27ꢌ 제2호Z Tensor on N(k)-Quasi-Einstein ManifoldsSahanous Mallick, Uday Chand Deκ²½λΆλŒ€ν•™κ΅ μžμ—°κ³Όν•™λŒ€ν•™ μˆ˜ν•™κ³Ό Β· Kyungpook Mathematical Journal2016 Β· 제56ꢌ 제3호On a class of N(k)-quasi einstein manifoldsAbul Kalam Gazi, Avik De, Uday Chand DeλŒ€ν•œμˆ˜ν•™νšŒ Β· λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘2011 Β· 제26ꢌ 제4호On generalized quasi-conformal $N(k,\mu )$-manifoldsKanak Kanti Baishya, Partha Roy ChowdhuryλŒ€ν•œμˆ˜ν•™νšŒ Β· λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘2016 Β· 제31ꢌ 제1호On some classes of generalized quasi-Einstein manifoldsAbsos Ali Shaikh, Shyamal Kumar HuiλŒ€ν•œμˆ˜ν•™νšŒ Β· λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘2009 Β· 제24ꢌ 제3호On quasi Einstein manifoldsBiman Kanti De, Uday Chand DeλŒ€ν•œμˆ˜ν•™νšŒ Β· λŒ€ν•œμˆ˜ν•™νšŒλ…Όλ¬Έμ§‘2008 Β· 제23ꢌ 제3호

이 κ°„ν–‰λ¬Όμ˜ λ‹€λ₯Έ λ…Όλ¬Έ (15건)

Organic relationship between laws based on judicial precedents using topological data analysisκΉ€μ„±ν›ˆ, μ •μž¬ν—Œpp. 649-664New Banach spaces defined by the domain of Riesz-Fibonacci matrixPinar Zengin Alp, Emrah Evren Karapp. 665-677A new algorithm for variational inclusion problemSalahuddin, Aadil Hussain Dar, Md. Kalimuddin Ahmadpp. 679-685Riemann-Liouville fractional versions of Hadamard inequality for strongly $(\alpha,m)$-convex functionsLakshmi Narayan Mishra, Saira Bano Akbar, Ghulam Farid, Laxmi Rathourpp. 687-704Ξ·-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONSAshis Mondalpp. 705-714
원문 보기