scholarly journals 3-dimensional Lorentz space-forms and Seifert fiber spaces

1985 ◽  
Vol 21 (2) ◽  
pp. 231-268 ◽  
Author(s):  
Ravi S. Kulkarni ◽  
Frank Raymond
Keyword(s):  
Lorentz Space ◽  
Space Forms ◽  
3 Dimensional ◽  
Seifert Fiber Spaces

Triharmonic Riemannian submersions from 3-dimensional space forms

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Tomoya Miura ◽  
Shun Maeta
Keyword(s):  
Existence Theorem ◽  
Space Form ◽  
Dimensional Space ◽  
Riemannian Submersion ◽  
Partial Answer ◽  
Riemannian Submersions ◽  
Space Forms ◽  
3 Dimensional

Abstract We show that any triharmonic Riemannian submersion from a 3-dimensional space form into a surface is harmonic. This is an affirmative partial answer to the submersion version of the generalized Chen conjecture. Moreover, a non-existence theorem for f -biharmonic Riemannian submersions is also presented.

scholarly journals f-Biharmonic Curves in the Three-dimensional Para-Sasakian Space Forms

2021 ◽  
pp. 369-379
Author(s):  
Murat Altunbaş
Keyword(s):  
Three Dimensional ◽  
Space Forms ◽  
3 Dimensional ◽  
Sasakian Space Forms ◽  
Sasakian Structures ◽  
Biharmonic Curves

In this paper, we give some characterizations for proper f-biharmonic curves in the para-Bianchi-Cartan-Vranceanu space forms with 3-dimensional para-Sasakian structures.

CONFORMALLY FLAT HYPERSURFACES WITH CYCLIC GUICHARD NET

2007 ◽  
Vol 18 (03) ◽  
pp. 301-329 ◽  
Author(s):  
UDO HERTRICH-JEROMIN ◽  
YOSHIHIKO SUYAMA
Keyword(s):  
Ambient Space ◽  
Conformally Flat ◽  
Space Forms ◽  
Cyclic System ◽  
3 Dimensional ◽  
Weingarten Surfaces

We classify the 3-dimensional conformally flat hypersurfaces with cyclic principal Guichard net. The orthogonal surfaces of the cyclic system turn out to be linear Weingarten surfaces in suitable ambient space forms and we provide explicit parametrizations for the conformally flat hypersurfaces.

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