A fundamental theorem for submanifolds of multiproducts of real space forms

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Title: A fundamental theorem for submanifolds of multiproducts of real space forms
Author(s): Lawn, M-A
Roth, J
Item Type: Journal Article
Abstract: We prove a Bonnet theorem for isometric immersions of submanifolds into the products of an arbitrary number of simply connected real space forms. Then we prove the existence of associate families of minimal surfaces in such products. Finally, in the case of 2 × 2, we give a complex version of the main theorem in terms of the two canonical complex structures of 2 × 2.
Publication Date: 9-Jun-2017
Date of Acceptance: 16-Jan-2016
URI: http://hdl.handle.net/10044/1/48353
DOI: https://dx.doi.org/10.1515/advgeom-2017-0021
ISSN: 1615-7168
Publisher: De Gruyter
Journal / Book Title: Advances in Geometry
Volume: 17
Issue: 3
Copyright Statement: © 2017, Walter de Gruyter GmbH
Keywords: 0101 Pure Mathematics
General Mathematics
Publication Status: Published
Embargo Date: 2018-06-09
Open Access location: https://arxiv.org/abs/1502.03427
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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