Universität zu Köln

Geiges, Hansjoerg and Gonzalo Perez, Jesus (2010). A homogeneous Gibbons-Hawking ansatz and Blaschke products. Adv. Math., 225 (5). S. 2598 - 2616. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 0001-8708

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Abstract

A homogeneous Gibbons Hawking ansatz is described, leading to 4-dimensional hyperkahler metrics with homotheties. In combination with Blaschke products on the unit disc in the complex plane, this ansatz allows one to construct infinite-dimensional families of such hyperkahler metrics that are, in a suitable sense, complete. Our construction also gives rise to incomplete metrics on 3-dimensional contact manifolds that induce complete Carnot-Caratheodory distances. (C) 2010 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Geiges, Hansjoerg UNSPECIFIED UNSPECIFIED UNSPECIFIED Gonzalo Perez, Jesus UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-491030
DOI:	10.1016/j.aim.2010.05.006
Journal or Publication Title:	Adv. Math.
Volume:	225
Number:	5
Page Range:	S. 2598 - 2616
Date:	2010
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	0001-8708
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GEOMETRY Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49103