Complex Einstein manifolds of the projective space

被引：10

作者：

Hulin, D ^{[1
]}

机构：

[1] ECOLE POLYTECH,CTR MATH,URA CNRS 169,F-91128 PALAISEAU,FRANCE

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1996年 / 124卷 / 02期

关键词：

D O I：

10.24033/bsmf.2281

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any complex submanifold M of the complex projective space (CPN, can), which is Einstein for the induced metric, extends to a complete complex submanifold of (CPN. In particular, the Einstein constant of M is a rational number.

引用

页码：277 / 298

页数：22

共 50 条

[41] Bismut Einstein metrics on compact complex manifolds [J].

Ye, Yanan .

JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 288 (06)

[42] Interpretation of Geometry on Manifolds as a Geometry in a Space with Projective Metric [J].

Artikbaev A. ;

Saitova S.S. .

Journal of Mathematical Sciences, 2022, 265 (1) :1-10

[43] MANIFOLDS GENERATED BY FAMILY OF MULTIDIMENSIONAL PLANES IN PROJECTIVE SPACE [J].

KRUGLIAKOV, LZ .

DOKLADY AKADEMII NAUK SSSR, 1978, 242 (06) :1245-1247

[44] On the homotopy types of compact Kahler and complex projective manifolds [J].

Voisin, C .

INVENTIONES MATHEMATICAE, 2004, 157 (02) :329-343

[45] SHAPE MANIFOLDS, PROCRUSTEAN METRICS, AND COMPLEX PROJECTIVE SPACES [J].

KENDALL, DG .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1984, 16 (MAR) :81-121

[46] On the h-principle and specialness for complex projective manifolds [J].

Campana, Frederic ;

Winkelmann, Joerg .

ALGEBRAIC GEOMETRY, 2015, 2 (03) :298-314

[47] Building blocks of etale endomorphisms of complex projective manifolds [J].

Nakayama, Noboru ;

Zhang, De-Qi .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2009, 99 :725-756

[48] COMPLEX POLARIZATIONS ON SYMPLECTIC-MANIFOLDS AND PROJECTIVE GEOMETRY [J].

CAMPBELL, P .

HADRONIC JOURNAL, 1982, 5 (06) :2069-2080

[49] Differential operators on complex manifolds with a flat projective structure [J].

Biswas, I .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1999, 78 (01) :1-26

[50] On the total curvature and Betti numbers of complex projective manifolds [J].

Hoisington, Joseph Ansel .

GEOMETRY & TOPOLOGY, 2022, 26 (01) :1-45

← 1 2 3 4 5 →