Almost complex structures on hyperbolic manifolds-Reference-Cited by-同舟云学术

Almost complex structures on hyperbolic manifolds

Published:2023-08-21 Issue:1 Volume:305 Page:
ISSN:0025-5874
Container-title:Mathematische Zeitschrift
language:en
Short-container-title:Math. Z.

Author:

Kotschick D.

Abstract

AbstractWe discuss the existence of almost complex structures on closed hyperbolic manifolds of even dimension at least four. We prove that for

$$n=2$$

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

$$n=4$$

n = 4 we prove it for arithmetic manifolds.

Funder

Ludwig-Maximilians-Universität München

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00209-023-03346-y.pdf

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