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

[11] PROJECTIVE FORMS CLOSED ON AN EINSTEIN SPACE [J].

COUTY, R .

COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 270 (19) :1249-&

[12] On normals of manifolds in multidimensional projective space [J].

Grebenyuk, Marina ;

Mikes, Josef .

ANNALES MATHEMATICAE ET INFORMATICAE, 2013, 42 :23-28

[13] SUB-MANIFOLDS OF PROJECTIVE SPACE [J].

REES, E .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 19 (FEB) :159-162

[14] Parallelizability of complex projective Stiefel manifolds [J].

Astey, L ;

Gitler, S ;

Micha, E ;

Pastor, G .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (05) :1527-1530

[15] DYNAMICS OF AUTOMORPHISMS ON PROJECTIVE COMPLEX MANIFOLDS [J].

不详 .

JOURNAL OF DIFFERENTIAL GEOMETRY, 2009, 82 (3-4) :691-722

[16] Cohomology of complex projective Stiefel manifolds [J].

Astey, L ;

Gitler, S ;

Micha, E ;

Pastor, G .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1999, 51 (05) :897-914

[17] HOMOLOGY OF INTERSECTIONS OF COMPLEX PROJECTIVE MANIFOLDS [J].

LARSEN, ME .

MATHEMATICA SCANDINAVICA, 1973, 33 (01) :97-107

[18] Kahler packings of projective complex manifolds [J].

Fleming, Aeran .

EUROPEAN JOURNAL OF MATHEMATICS, 2021, 7 (04) :1382-1400

[19] Rigidity Theorems of Complete Kahler-Einstein Manifolds and Complex Space Forms [J].

Chong, Tian ;

Dong, Yuxin ;

Lin, Hezi ;

Ren, Yibin .

ACTA MATHEMATICA SCIENTIA, 2019, 39 (02) :339-356

[20] SUB-MANIFOLDS WITH L-FLAT NORMAL CONNECTION OF THE COMPLEX PROJECTIVE SPACE [J].

OKUMURA, M .

PACIFIC JOURNAL OF MATHEMATICS, 1978, 78 (02) :447-454

← 1 2 3 4 5 →