Almost complex structures on hyperbolic manifolds

被引：1

作者：

Kotschick, D. ^{[1
]}

机构：

[1] LMU Munchen, Math Inst, Theresienstr 39, D-80333 Munich, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 305卷 / 01期

关键词：

Almost complex structure; Hyperbolic manifold; Characteristic number; FUNDAMENTAL-GROUPS; 4-MANIFOLDS;

D O I：

10.1007/s00209-023-03346-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the existence of almost complex structures on closed hyperbolic manifolds of even dimension at least four. We prove that for n = 2 and for all odd n every hyperbolic 2n-manifold has a finite covering admitting an almost complex structure. Conjecturally this should be true for all n. For n = 4 we prove it for arithmetic manifolds.

引用

页数：8

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