Chern numbers of almost complex manifolds

被引：6

作者：

Geiges, H ^{[1
]}

机构：

[1] Leiden Univ, Inst Math, NL-2300 RA Leiden, Netherlands

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 12期

关键词：

D O I：

10.1090/S0002-9939-01-06027-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that any system of numbers that can be realised as the system of Chern numbers of an almost complex manifold of dimension 2n, n greater than or equal to 2, can also be realised in this way by a connected almost complex manifold. This answers an old question posed by Hirzebruch.

引用

页码：3749 / 3752

页数：4

共 50 条

[1] ON CHERN NUMBERS OF CERTAIN COMPLEX AND ALMOST COMPLEX MANIFOLDS
DEVEN, AV
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1966, 55 (06) : 1624 - &
[2] Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers
Grama, Lino
Negreiros, Caio J. C.
Oliveira, Ailton R.
ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (01) : 165 - 200
[3] Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers
Lino Grama
Caio J. C. Negreiros
Ailton R. Oliveira
Annali di Matematica Pura ed Applicata (1923 -), 2017, 196 : 165 - 200
[4] RELATIONS BETWEEN THE CHERN NUMBERS OF QUASI-COMPLEX MANIFOLDS
SHOKUROV, AV
MATHEMATICAL NOTES, 1979, 26 (1-2) : 560 - 566
[5] Almost complex 4-manifolds with vanishing first Chern class
Bauer, Stefan
JOURNAL OF DIFFERENTIAL GEOMETRY, 2008, 79 (01) : 25 - 32
[6] CHERN CLASSES OF COMPLEX VECTOR-BUNDLES OVER ALMOST COMPLEX-MANIFOLDS
BLAZIC, N
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1989, 3B (04): : 939 - 951
[7] On the Chern numbers and the Hilbert polynomial of an almost complex manifold with a circle action
Sabatini, Silvia
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2017, 19 (04)
[8] CHERN NUMBERS OF HOLOMORPHIC VECTOR-BUNDLES AND FORMALLY HOLOMORPHIC CONNECTIONS OF COMPLEX VECTOR-BUNDLES OVER ALMOST COMPLEX-MANIFOLDS
GRAY, A
BARROS, M
NAVEIRA, AM
VANHECKE, L
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1980, 314 : 84 - 98
[9] On the characterization of rational homotopy types and Chern classes of closed almost complex manifolds
Milivojevic, Aleksandar
COMPLEX MANIFOLDS, 2022, 9 (01): : 138 - 169
[10] Bott–Chern Laplacian on almost Hermitian manifolds
Riccardo Piovani
Adriano Tomassini
Mathematische Zeitschrift, 2022, 301 : 2685 - 2707

← 1 2 3 4 5 →