scholarly journals BIMINIMAL CURVES IN 2-DIMENSIONAL SPACE FORMS

2012 ◽  
Vol 27 (4) ◽  
pp. 771-780 ◽  
Author(s):  
Jun-Ichi Inoguchi ◽  
Ji-Eun Lee
Keyword(s):  
Dimensional Space ◽  
Space Forms

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.

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