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Volumn 162, Issue , 2001, Pages 41-63

Vector field energies and critical metrics on Kähler manifolds

(1)  Mabuchi, Toshiki a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039843460     PISSN: 00277630     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0027763000007790     Document Type: Article
Times cited : (9)

References (19)
  • 1
    • 0010626050 scopus 로고
    • On some integral invariants on complex manifolds I
    • S. Bando and T. Mabuchi, On some integral invariants on complex manifolds I, Pror. Japan Acad., 62 (1986), 197-200.
    • (1986) Pror. Japan Acad. , vol.62 , pp. 197-200
    • Bando, S.1    Mabuchi, T.2
  • 2
    • 0002008201 scopus 로고
    • Uniqueness of Einstein Kähler metrics modulo connected group actions
    • Algebraic Geometry, Sendai, Kinokuniya and North-Holland, Tokyo and Amsterdam
    • _, Uniqueness of Einstein Kähler metrics modulo connected group actions, Algebraic Geometry, Sendai, 1985, Adv. Stud. Pure Math. 10, Kinokuniya and North-Holland, Tokyo and Amsterdam (1987), pp. 11-40.
    • (1985) Adv. Stud. Pure Math. , vol.10 , pp. 11-40
  • 3
    • 0001901919 scopus 로고
    • Extremal Kähler metrics II
    • (I. Chavel and H.M. Farkas, eds.), Springer-Verlag, Heidelberg
    • E. Calabi, Extremal Kähler metrics II, Differential geometry and complex analysis (I. Chavel and H.M. Farkas, eds.), Springer-Verlag, Heidelberg (1985), pp. 95-114.
    • (1985) Differential Geometry and Complex Analysis , pp. 95-114
    • Calabi, E.1
  • 4
    • 0007134725 scopus 로고
    • Remarks on the existence problem of positive Kähler-Einstein metrics
    • W. Ding, Remarks on the existence problem of positive Kähler-Einstein metrics, Math. Ann., 282 (1988), 463-471.
    • (1988) Math. Ann. , vol.282 , pp. 463-471
    • Ding, W.1
  • 6
    • 0000735206 scopus 로고
    • On automorphism groups of compact Kähler manifolds
    • A. Fujiki, On automorphism groups of compact Kähler manifolds, Invent. Math., 44 (1978), 225-258.
    • (1978) Invent. Math. , vol.44 , pp. 225-258
    • Fujiki, A.1
  • 7
    • 0038880355 scopus 로고
    • An obstruction to the existence of Einstein Kähler metrics
    • A. Futaki, An obstruction to the existence of Einstein Kähler metrics, Invent. Math., 73 (1983), 437-443.
    • (1983) Invent. Math. , vol.73 , pp. 437-443
    • Futaki, A.1
  • 8
    • 0003330590 scopus 로고
    • Kähler-Einstein metrics and integral invariants
    • Springer-Verlag, Heidelberg
    • A. Futaki, Kähler-Einstein metrics and integral invariants, Lect. Notes in Math. 1314, Springer-Verlag, Heidelberg, 1988.
    • (1988) Lect. Notes in Math. , vol.1314
    • Futaki, A.1
  • 9
    • 0000063682 scopus 로고
    • Bilinear forms and extremal Kähler vector fields associated with Kähler classes
    • A. Futaki and T. Mabuchi, Bilinear forms and extremal Kähler vector fields associated with Kähler classes, Math. Ann., 301 (1995), 199-210.
    • (1995) Math. Ann. , vol.301 , pp. 199-210
    • Futaki, A.1    Mabuchi, T.2
  • 10
    • 0033235838 scopus 로고    scopus 로고
    • On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles
    • Z.D. Guan, On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles, Math. Res. Letters, 6 (1999), 547-555.
    • (1999) Math. Res. Letters , vol.6 , pp. 547-555
    • Guan, Z.D.1
  • 11
    • 0037608348 scopus 로고    scopus 로고
    • Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one
    • to appear
    • Z.D. Guan and X. Chen, Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one, to appear in Asian J. Math..
    • Asian J. Math.
    • Guan, Z.D.1    Chen, X.2
  • 12
    • 0001080267 scopus 로고
    • Extremal Kähler metrics and complex deformation theory
    • C. LeBrun and S. Simanca, Extremal Kähler metrics and complex deformation theory, Geom. Funct. Anal., 4 (1994), 298-336.
    • (1994) Geom. Funct. Anal. , vol.4 , pp. 298-336
    • LeBrun, C.1    Simanca, S.2
  • 13
    • 84972541698 scopus 로고
    • K-energy maps integrating Futaki invariants
    • T. Mabuchi, K-energy maps integrating Futaki invariants, Tôhoku Math. J., 38 (1986), 575-593.
    • (1986) Tôhoku Math. J. , vol.38 , pp. 575-593
    • Mabuchi, T.1
  • 14
    • 84972562592 scopus 로고
    • Some symplectic geometry on compact Kähler manifolds (I)
    • T. Mabuchi, Some symplectic geometry on compact Kähler manifolds (I), Osaka J. Math., 24 (1987), 227-252.
    • (1987) Osaka J. Math. , vol.24 , pp. 227-252
    • Mabuchi, T.1
  • 15
    • 0038369367 scopus 로고
    • An algebraic character associated with Poisson brackets
    • Recent topics in differential and analytic geometry, Kinokuniya and Academic Press, Tokyo and New York
    • T. Mabuchi, An algebraic character associated with Poisson brackets, Recent topics in differential and analytic geometry, Adv. Stud. Pure Math. 18-I, Kinokuniya and Academic Press, Tokyo and New York (1990), pp. 339-358.
    • (1990) Adv. Stud. Pure Math. , vol.18 , Issue.1 , pp. 339-358
    • Mabuchi, T.1
  • 16
    • 0035598532 scopus 로고    scopus 로고
    • Kähler-Einstein metrics for manifolds with nonvanishing Futaki character
    • to appear
    • T. Mabuchi, Kähler-Einstein metrics for manifolds with nonvanishing Futaki character, to appear in Tôhoku Math. J., 53 (2001).
    • (2001) Tôhoku Math. J. , vol.53
    • Mabuchi, T.1
  • 18
    • 0033443951 scopus 로고    scopus 로고
    • Bando-Calabi-Futaki characters of Kähler orbifolds
    • Y. Nakagawa, Bando-Calabi-Futaki characters of Kähler orbifolds, Math. Ann., 314 (1999), 369-380.
    • (1999) Math. Ann. , vol.314 , pp. 369-380
    • Nakagawa, Y.1
  • 19
    • 23044519411 scopus 로고    scopus 로고
    • A K-energy characterization of extremal Kähler metrics
    • S. Simanca, A K-energy characterization of extremal Kähler metrics, Proc. Amer. Math. Soc., 128 (2000), 1531-1535.
    • (2000) Proc. Amer. Math. Soc. , vol.128 , pp. 1531-1535
    • Simanca, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.