Open Access
Article
Some curvature identities on an almost conformal gradient shrinking RICCI soliton
*Tamalika DuttaCorresponding authortamalika.math@hotmail.comDEPARTMENT OF MATHEMATICS, JADAVPUR UNIVERSITYKOLKATA-, 700032, INDIAView full profile → , Nirabhra Basunirabhra.basu@hotmail.comDEPARTMENT OF MATHEMATICS, BHOWANIPUR EDUCATION SOCIETY COLLEGEE-MAIL:KOLKATA-, 700020, INDIAView full profile → , Arindam Bhattacharyyabhattachar1968@yahoo.co.inDEPARTMENT OF MATHEMATICS, JADAVPUR UNIVERSITYE-MAIL:Department of Mathematics, Jadavpur University-Kolkata, West Bengal, 700032, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 11 Apr 2015
- Accepted:
- 05 Jun 2015
- Published Online:
- 03 Jul 2015
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2015.1076221
- Pages:
- 163–178
Abstract
In this paper we have introduced the notion of almost conformai gradient shrinking Ricci soliton and established some curvature identities for almost conformai gradient shrinking Ricci soliton.
Keywords
Subject Classifications
53C4435K6558D17
References
A.Barros, R.Batista, E.Ribeiro, Compact Almost Ricci Solitons with constant scalar curvature are gradient, Monatsh Math174 : 29 – 39 ( 2014 ). doi: 10.1007/s00605-013-0581-3 A.Bhattacharyya, N.Basu, Some curvature identities on Gradient Shrinking Conformai Ricci Soliton, Analele Stiintifice Ale Universitatii Al.I.Cuza Din Iasi (S.N) Mathematica Tomul LX , ( 2014 ). X.Cao, Compact Gradient Shrinking Ricci Solitons with positive curvature operator, J. Geom. Anal., 17 425 – 433 ( 2007 ). doi: 10.1007/BF02922090 A. E.Fischer, An introduction to conformai Ricci flow, class.Quantum Grav. 21 , S171 – S218 , ( 2004 ). doi: 10.1088/0264-9381/21/3/011 ManuelFernndez-Lpez and EduardoGarca-Ro, Rigidity of shrinking Ricci solitons, Mathematische Zeitschrift, 269 : 461 – 466 , ( 2011 ). doi: 10.1007/s00209-010-0745-y R. S.Hamilton, Three Manifold with positive Ricci curvature, J.Differential Geom. 17 ( 2 ), 255 – ;306 ( 1982 ). R. S.Hamilton, The Ricci flow on surfaces, Contemporary Mathematics, 71 , 237 – 261 , ( 1988 ). doi: 10.1090/conm/071/954419 G.Perelman, The entropy formula for the Ricci flow and its geometric applications, http://arXiv.org/abs/math/0211159 , 1 – 39 , ( 2002 ). G.Perelman, Ricci flow with surgery on three manifolds, http://arXiv.org/abs/math/0303109 , 1 – 22 , ( 2003 ). PeterPetersen and WilliamWylie, Rigidity of gradient Ricci solitons, Pacific Journal of Mathematics, Vol. 241 No. 2 , ( 2009 ). doi: 10.2140/pjm.2009.241.329 S.Pigola, M.Rigoli, M.Rimoldi, A. G.Setti, Ricci almost solitons, arXiv:1003.2945v1, ( 2010 ). RameshSharma, Almost Ricci solitons and K-contact geometry, Monatsh Math175 : 621 – 628 , ( 2014 ). doi: 10.1007/s00605-014-0657-8
Views: 13Downloads: 5Citations: 1
