A fundamental theorem for submanifolds of multiproducts of real space forms
OA Location
Author(s)
Lawn, M-A
Roth, J
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.
Date Issued
2017-06-09
Date Acceptance
2016-01-16
Citation
Advances in Geometry, 2017, 17 (3)
ISSN
1615-7168
Publisher
De Gruyter
Journal / Book Title
Advances in Geometry
Volume
17
Issue
3
Copyright Statement
© 2017, Walter de Gruyter GmbH
Subjects
0101 Pure Mathematics
General Mathematics
Publication Status
Published