scholarly journals Ribaucour transformations for isometric immersions of pseudo-Riemannian space forms

2009 ◽  
Vol 59 (6) ◽  
pp. 740-753
Author(s):  
Qiaoling Xia
Keyword(s):  
Riemannian Space ◽  
Isometric Immersions ◽  
Space Forms ◽  
Ribaucour Transformations ◽  
Riemannian 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

scholarly journals Uniqueness of Curvature Measures in Pseudo-Riemannian Geometry

2021 ◽  
Author(s):  
Andreas Bernig ◽  
Dmitry Faifman ◽  
Gil Solanes
Keyword(s):  
Riemannian Manifolds ◽  
Riemannian Geometry ◽  
Riemannian Space ◽  
Space Forms ◽  
Type Formula ◽  
Isometric Embeddings ◽  
Curvature Measures ◽  
Riemannian Space Forms

AbstractThe recently introduced Lipschitz–Killing curvature measures on pseudo-Riemannian manifolds satisfy a Weyl principle, i.e. are invariant under isometric embeddings. We show that they are uniquely characterized by this property. We apply this characterization to prove a Künneth-type formula for Lipschitz–Killing curvature measures, and to classify the invariant generalized valuations and curvature measures on all isotropic pseudo-Riemannian space forms.

scholarly journals On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms

2003 ◽  
Vol 96 (2) ◽  
pp. 149-166 ◽  
Author(s):  
Ryszard Deszcz ◽  
Małgorzata Głogowska ◽  
Marian Hotloś ◽  
Leopold Verstraelen
Keyword(s):  
Riemannian Space ◽  
Einstein Metric ◽  
Space Forms ◽  
Riemannian Space Forms
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