FIBRATIONS AND FUNDAMENTAL GROUPS OF KAHLER-WEYL MANIFOLDS

G. Kokarev; D. Kotschick

FIBRATIONS AND FUNDAMENTAL GROUPS OF KAHLER-WEYL MANIFOLDS

G. Kokarev, D. Kotschick

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We extend the Siu-Beauville theorem to a certain class of compact Kahler-Weyl manifolds, proving that they fiber holomorphically over hyperbolic Riemannian surfaces whenever they satisfy the necessary topological hypotheses. As applications we obtain restrictions oil the fundamental groups of such Kahler-Weyl manifolds, and we show that in cases they are in fact Kahler.

Original language	English
Pages (from-to)	997-1010
Number of pages	14
Journal	Proceedings of the american mathematical society
Volume	138
Issue number	3
Publication status	Published - Mar 2010

Cite this

@article{a0f55dbb578348fcb8b20eb646500c4a,

title = "FIBRATIONS AND FUNDAMENTAL GROUPS OF KAHLER-WEYL MANIFOLDS",

abstract = "We extend the Siu-Beauville theorem to a certain class of compact Kahler-Weyl manifolds, proving that they fiber holomorphically over hyperbolic Riemannian surfaces whenever they satisfy the necessary topological hypotheses. As applications we obtain restrictions oil the fundamental groups of such Kahler-Weyl manifolds, and we show that in cases they are in fact Kahler.",

author = "G. Kokarev and D. Kotschick",

year = "2010",

month = mar,

language = "English",

volume = "138",

pages = "997--1010",

journal = "Proceedings of the american mathematical society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - FIBRATIONS AND FUNDAMENTAL GROUPS OF KAHLER-WEYL MANIFOLDS

AU - Kokarev, G.

AU - Kotschick, D.

PY - 2010/3

Y1 - 2010/3

N2 - We extend the Siu-Beauville theorem to a certain class of compact Kahler-Weyl manifolds, proving that they fiber holomorphically over hyperbolic Riemannian surfaces whenever they satisfy the necessary topological hypotheses. As applications we obtain restrictions oil the fundamental groups of such Kahler-Weyl manifolds, and we show that in cases they are in fact Kahler.

AB - We extend the Siu-Beauville theorem to a certain class of compact Kahler-Weyl manifolds, proving that they fiber holomorphically over hyperbolic Riemannian surfaces whenever they satisfy the necessary topological hypotheses. As applications we obtain restrictions oil the fundamental groups of such Kahler-Weyl manifolds, and we show that in cases they are in fact Kahler.

M3 - Article

SN - 0002-9939

VL - 138

SP - 997

EP - 1010

JO - Proceedings of the american mathematical society

JF - Proceedings of the american mathematical society

IS - 3

ER -

FIBRATIONS AND FUNDAMENTAL GROUPS OF KAHLER-WEYL MANIFOLDS

Abstract

Fingerprint

Cite this