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Volumn 137, Issue 6, 2009, Pages 2085-2092

On gradient ricci solitons with symmetry

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EID: 70350159705     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-09-09723-8     Document Type: Article
Times cited : (129)

References (27)
  • 1
    • 34547689376 scopus 로고    scopus 로고
    • Three-dimensional Ricci solitons which project to surfaces
    • MR2339469 (2008f:53086)
    • Paul Baird and Laurent Danielo. Three-dimensional Ricci solitons which project to surfaces. J. Reine Angew. Math. 608: 65-91, 2007. MR2339469 (2008f:53086)
    • (2007) J. Reine Angew. Math. , vol.608 , pp. 65-91
    • Baird, P.1    Danielo, L.2
  • 2
    • 0011261970 scopus 로고
    • Real analyticity of solutions of Hamilton's equation
    • MR888130 (88i:53073)
    • Shigetoshi Bando. Real analyticity of solutions of Hamilton's equation. Math Z. 195: 93-97, 1987. MR888130 (88i:53073)
    • (1987) Math Z. , vol.195 , pp. 93-97
    • Bando, S.1
  • 3
    • 49749123779 scopus 로고    scopus 로고
    • Manifolds with positive curvature operators are space forms
    • Christoph Böhm and Burkhard Wilking. Manifolds with positive curvature operators are space forms. Ann. of Math. (2) 167(3): 1079-1097, 2008.
    • (2008) Ann. of Math. (2) , vol.167 , Issue.3 , pp. 1079-1097
    • Böhm, C.1    Wilking, B.2
  • 4
    • 0008989693 scopus 로고    scopus 로고
    • Existence of gradient Kähler-Ricci solitons
    • (Minneapolis, MN, 1994), A K Peters, Wellesley, MA, MR1417944 (98a:53058)
    • Huai-Dong Cao. Existence of gradient Kähler-Ricci solitons. In Elliptic and parabolic methods in geometry (Minneapolis, MN, 1994), pages 1-16. A K Peters, Wellesley, MA, 1996. MR1417944 (98a:53058)
    • (1996) Elliptic and parabolic methods in geometry , pp. 1-16
    • Cao, H.-D.1
  • 5
    • 0031063197 scopus 로고    scopus 로고
    • Limits of solutions to the Kahler-Ricci flow
    • MR1449972 (99g:53042)
    • Huai-Dong Cao. Limits of solutions to the Kahler-Ricci flow. J. Differential Geom. 45(2): 257-272, 1997. MR1449972 (99g:53042)
    • (1997) J. Differential Geom. , vol.45 , Issue.2 , pp. 257-272
    • Cao, H.-D.1
  • 6
    • 62949134237 scopus 로고    scopus 로고
    • Hamilton's Ricci flow
    • Amer. Math. Soc., Providence, RI; Science Press, New York, MR2274812 (2008:53068)
    • Bennet Chow, Peng Lu, and Lei Ni. Hamilton's Ricci flow. Graduate Studies in Mathematics 77, Amer. Math. Soc., Providence, RI; Science Press, New York, 2006. MR2274812 (2008:53068)
    • (2006) Graduate Studies in Mathematics , vol.77
    • Chow, B.1    Lu, P.2    Ni, L.3
  • 8
    • 53649098573 scopus 로고    scopus 로고
    • Ricci Solitons - the Equation Point of View
    • Manolo Eminenti, Gabriele La Nave, and Carlo Mantegazza. Ricci Solitons - the Equation Point of View. Manuscripta Math. 127(3): 345-367, 2008.
    • (2008) Manuscripta Math. , vol.127 , Issue.3 , pp. 345-367
    • Eminenti, M.1    La Nave, G.2    Mantegazza, C.3
  • 9
    • 3042672574 scopus 로고    scopus 로고
    • Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
    • Mikhail Feldman, Tom Ilmanen, and Dan Knopf. Rotationally symmetric shrinking and expanding gradient Kahler-Ricci solitons. J. Differential Geom. 65(2): 169-209, 2003. MR2058261 (2005e:53102) (Pubitemid 38845910)
    • (2003) Journal of Differential Geometry , vol.65 , Issue.2 , pp. 169-209
    • Feldman, M.1    Ilmanen, T.2    Knopf, D.3
  • 10
    • 0000872141 scopus 로고
    • The Ricci flow on surfaces
    • Amer. Math. Soc., Providence, RI, MR954419 (89i:53029)
    • Richard Hamilton. The Ricci flow on surfaces. In Mathematics and General Relativity, Contemporary Mathematics 71, pages 237-262. Amer. Math. Soc., Providence, RI, 1988. MR954419 (89i:53029)
    • (1988) Mathematics and General Relativity, Contemporary Mathematics , vol.71 , pp. 237-262
    • Hamilton, R.1
  • 11
    • 84966206339 scopus 로고
    • New examples of complete Ricci solitons
    • MR1207538 (94k:53057)
    • Thomas Ivey. New examples of complete Ricci solitons. Proc. Amer. Math. Soc. 122(1): 241-245, 1994. MR1207538 (94k:53057)
    • (1994) Proc. Amer. Math. Soc. , vol.122 , Issue.1 , pp. 241-245
    • Ivey, T.1
  • 12
    • 0000307628 scopus 로고
    • On rotationally symmetric Hamilton's equation for Koahler-Einstein metrics
    • Academic Press, Boston, MA, MR1145263 (93d:53057)
    • Norihito Koiso. On rotationally symmetric Hamilton's equation for Koahler-Einstein metrics. In Recent Topics in Differential and Analytic Geometry, Adv. Stud. Pure Math. 18, pages 327-337. Academic Press, Boston, MA, 1990. MR1145263 (93d:53057)
    • (1990) Recent Topics in Differential and Analytic Geometry, Adv. Stud. Pure Math. , vol.18 , pp. 327-337
    • Koiso, N.1
  • 13
    • 51549105164 scopus 로고    scopus 로고
    • On rotationally invariant shrinking gradient Ricci solitons
    • Brett Kotschwar. On rotationally invariant shrinking gradient Ricci solitons. Pacific J. Math. 236(1): 73-88, 2008.
    • (2008) Pacific J. Math. , vol.236 , Issue.1 , pp. 73-88
    • Kotschwar, B.1
  • 14
    • 0035607186 scopus 로고    scopus 로고
    • Ricci soliton homogeneous nilmanifolds
    • DOI 10.1007/s002080100176
    • Jorge Lauret. Ricci soliton homogeneous nilmanifolds. Math. Ann. 319: 715-733, 2001. MR1825405 (2002k:53083) (Pubitemid 33726409)
    • (2001) Mathematische Annalen , vol.319 , Issue.4 , pp. 715-733
    • Lauret, J.1
  • 15
    • 36048986963 scopus 로고    scopus 로고
    • On the long-time behavior of type-III Ricci flow solutions
    • MR2336062 (2008i:53093)
    • John Lott. On the long-time behavior of type-III Ricci flow solutions. Math. Ann. 339(3): 627-666, 2007. MR2336062 (2008i:53093)
    • (2007) Math. Ann. , vol.339 , Issue.3 , pp. 627-666
    • Lott, J.1
  • 17
    • 31544476876 scopus 로고    scopus 로고
    • Ancient solutions to Kähler Ricci flow
    • MR2189227 (2006i:53097)
    • Lei Ni. Ancient solutions to Kähler Ricci flow. Math. Research Letters 12: 633-653, 2005. MR2189227 (2006i:53097)
    • (2005) Math. Research Letters , vol.12 , pp. 633-653
    • Ni, L.1
  • 18
    • 59349106144 scopus 로고    scopus 로고
    • On a classification of the gradient shrinking solitons
    • Lei Ni and Nolan Wallach. On a classification of the gradient shrinking solitons. Math. Research Letters 15(5): 941-955, 2008.
    • (2008) Math. Research Letters , vol.15 , Issue.5 , pp. 941-955
    • Ni, L.1    Wallach, N.2
  • 19
    • 77955505955 scopus 로고    scopus 로고
    • On 4-dimensional gradient shrinking solitons
    • rnm152
    • Lei Ni and Nolan Wallach. On 4-dimensional gradient shrinking solitons. Internat. Math. Res. Notices, vol. 2008, rnm152, 13 pp.
    • Internat. Math. Res. Notices , vol.2008 , pp. 13
    • Ni, L.1    Wallach, N.2
  • 21
    • 73349125566 scopus 로고    scopus 로고
    • Rigidity of gradient Ricci solitons
    • arXiv:math.DG/0710.3174. To appear in
    • Peter Petersen and William Wylie. Rigidity of gradient Ricci solitons. arXiv:math.DG/0710.3174. To appear in Pacific J. Math.
    • Pacific J. Math.
    • Petersen, P.1    Wylie, W.2
  • 23
    • 4444346223 scopus 로고    scopus 로고
    • Kahler-Ricci solitons on toric manifolds with positive first Chern class
    • MR2084775 (2005d:53074)
    • X.J. Wang and X.H. Zhu. Kahler-Ricci solitons on toric manifolds with positive first Chern class. Adv. Math. 188(1): 87-103, 2004. MR2084775 (2005d:53074)
    • (2004) Adv. Math. , vol.188 , Issue.1 , pp. 87-103
    • Wang, X.J.1    Zhu, X.H.2
  • 26
    • 44449141156 scopus 로고    scopus 로고
    • Complete shrinking Ricci solitons have finite fundamental group
    • MR2373611
    • William Wylie. Complete shrinking Ricci solitons have finite fundamental group. Proc. Amer. Math. Soc. 136(5): 1803-1806, 2008. MR2373611
    • (2008) Proc. Amer. Math. Soc. , vol.136 , Issue.5 , pp. 1803-1806
    • Wylie, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.