The Darboux Transformation and Local Isometric Immersions of Space forms

2002 ◽  
Author(s):  
Qun He ◽  
Yi-Bing Shen
Keyword(s):  
Darboux Transformation ◽  
Isometric Immersions ◽  
Space Forms

scholarly journals Isometric immersions of space forms and soliton theory

1996 ◽  
Vol 305 (1) ◽  
pp. 329-342 ◽  
Author(s):  
Dirk Ferus ◽  
Franz Pedit
Keyword(s):  
Isometric Immersions ◽  
Space Forms ◽  
Soliton Theory

scholarly journals A fundamental theorem for submanifolds of multiproducts of real space forms

2017 ◽  
Vol 17 (3) ◽  
Author(s):  
Marie-Amélie Lawn ◽  
Julien Roth
Keyword(s):  
Minimal Surfaces ◽  
Fundamental Theorem ◽  
Arbitrary Number ◽  
Real Space ◽  
Isometric Immersions ◽  
Space Forms ◽  
Real Space Forms ◽  
Simply Connected ◽  
Bonnet Theorem

AbstractWe 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 𝕊

Isometric immersions into products of space forms

2010 ◽  
Vol 151 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Daniel Kowalczyk
Keyword(s):  
Isometric Immersions ◽  
Space Forms

scholarly journals Generalized DPW method and an application to isometric immersions of space forms

2008 ◽  
Vol 262 (1) ◽  
pp. 143-172 ◽  
Author(s):  
David Brander ◽  
Josef Dorfmeister
Keyword(s):  
Isometric Immersions ◽  
Space Forms

On Quasi-Minimal Isometric Immersions into Non-Flat Semi Riemannian Space Forms of Index Two

2019 ◽  
Vol 20 ◽  
pp. 255-265
Author(s):  
Nurettin C. Turgay ◽  
◽  
Alev Kelleci ◽  
Rüya Yeğin Şen ◽  
Elif Özkara Canfes
Keyword(s):  
Riemannian Space ◽  
Isometric Immersions ◽  
Space Forms ◽  
Riemannian Space Forms

Isometric immersions of pseudo-Riemannian space forms

2004 ◽  
Vol 52 (3) ◽  
pp. 241-262 ◽  
Author(s):  
Chen Qing ◽  
Zuo Dafeng ◽  
Cheng Yi
Keyword(s):  
Riemannian Space ◽  
Isometric Immersions ◽  
Space Forms ◽  
Riemannian Space Forms
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