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Generalised Ricci Solitons on Sasakian Manifolds

Ahmed Mohammed Cherif|Mohammed El Amine Mekki
경북대학교 자연과학대학 수학과|2017.12|Kyungpook Mathematical Journal|제57권 제4호|pp. 677-682

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참고문헌

키워드

Ricci solitonEinstein manifoldsSasakian manifolds
주제분류수학

초록

In this paper, we show that a Sasakian manifold which also satisfies the generalised gradient Ricci soliton equation, satisfying some conditions, is necessarily Einstein.

Abstract

In this paper, we show that a Sasakian manifold which also satisfies the generalised gradient Ricci soliton equation, satisfying some conditions, is necessarily Einstein.

참고문헌 (12)

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  3. C. P. Boyer, "Sasakian geometry" (2007), Oxford Univ. Press
  4. H. D. Cao, "Recent progress on Ricci solitons", Adv. Lect. Math. (ALM), 11, pp.1~38 (2010)
  5. P. T. Chrusciel, "On non-existence of static vacuum black holes with degenerate components of the event horizon", Classical Quantum Gravity, 23, pp.549~554 (2006)
  7. T. Ivey, "Ricci solitons on compact three-manifolds", Differential Geom. Appl., 3, pp.301~307 (1993)
  8. J. Jezierski, "On the existence of Kundt's metrics and degenerate (or extremal) Killing horizons", Classical Quantum Gravity, 26, pp.11~ (2009)
  9. H. K. Kunduri, "Classiffication of near-horizon geometries of extremal black holes", Living Rev. Relativity, 16(8) (2013)
  10. P. Nurowski, "Generalized Ricci solitons", J Geom. Anal., 26, pp.1280~1345 (2016)
  11. O'Neil, "Semi-Riemannian geometry" (1983), Academic Press
  12. K. Yano, "Structures on manifolds" (1984), World Scientific Publishing Co.

관련 논문AI추천

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