Einstein-Kahler metrics on certain complex bundles

被引：1

作者：

Ben Abdesselem, A ^{[1
]}

Cherrier, P ^{[1
]}

机构：

[1] Univ Paris 06, UFR 920, F-75252 Paris 05, France

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2000年 / 124卷 / 08期

关键词：

complex manifolds; first Chern class; Einstein-Kahler metrics;

D O I：

10.1016/S0007-4497(00)01064-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We Study a class of compact complex manifolds, with positive first Chern class, fibered over products of projective spaces. We prove that these bundles carry Einstein-Kahler metrics when the projective spaces of the basis have the same dimension. When this dimensional condition is not satisfied, we estimate their Ricci tensor in another paper. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

引用

页码：659 / 684

页数：26

共 50 条

[1] EINSTEIN-KAHLER METRICS
AUBIN, T
[J]. DIFFERENTIAL GEOMETRY, 1989, 1410 : 52 - 59
[2] EINSTEIN-KAHLER METRICS
AUBIN, T
[J]. LECTURE NOTES IN MATHEMATICS, 1989, 1410 : 52 - 59
[3] Einstein-Kahler metrics on a class of bundles involving integral weights
Ben Abdesselem, A
Cherrier, P
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2002, 81 (03): : 259 - 281
[4] New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kahler manifolds
Lü, H
Page, DN
Pope, CN
[J]. PHYSICS LETTERS B, 2004, 593 : 218 - 226
[5] The Einstein-Kahler metrics on Hua domain
Wang, A
Yin, WP
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2003, 40 (04) : 609 - 627
[6] Globally conformally Kahler Einstein metrics on certain holomorphic bundles
Feng, Zhiming
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2023, 202 (03) : 1087 - 1129
[7] Volume renormalization for complete Einstein-Kahler metrics
Seshadri, Neil
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2007, 25 (04) : 356 - 379
[8] EINSTEIN-KAHLER METRICS AND EXPONENTIAL OF ADMISSIBLE FUNCTIONS
AUBIN, T
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 88 (02) : 385 - 394
[9] EINSTEIN-KAHLER METRICS ON CERTAIN KAHLER-MANIFOLDS WITH POSITIVE 1ST CHERN CLASS
BENABDESSELEM, A
CHERRIER, P
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (01): : 67 - 72
[10] Einstein-Kahler metrics on symmetric toric Fano manifolds
Batyrev, VV
Selivanova, EN
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1999, 512 : 225 - 236

← 1 2 3 4 5 →