Semi Riemannian hypersurfaces with a canonical principal direction

2021 ◽  
Vol 27 (2) ◽  
Author(s):  
Adrian Garcia Dinorin ◽  
Gabriel Ruiz-Hernández
Keyword(s):  
Principal Direction ◽  
Canonical Principal Direction

New classification results on surfaces with a canonical principal direction in the Minkowski 3-space

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6023-6040 ◽  
Author(s):  
Alev Kelleci ◽  
Mahmut Ergüt ◽  
Nurettin Turgay
Keyword(s):  
Principal Direction ◽  
New Classification ◽  
Constant Direction ◽  
Canonical Principal Direction

In this paper, wecharacterize and classify all surfaces endowed with canonical principal direction relative to a space-like and light-like, constant direction in the Minkowski 3-space.

scholarly journals A note on spacelike surfaces in Minkowski 3-space

Filomat ◽  
2013 ◽  
Vol 27 (5) ◽  
pp. 843-849 ◽  
Author(s):  
Ana Nistor
Keyword(s):  
Principal Direction ◽  
Maximality Condition ◽  
Canonical Principal Direction ◽  
Spacelike Surfaces

We characterize and classify spacelike surfaces endowed with a canonical principal direction in Minkowski 3-space E13. Under the maximality condition, a new characterization for the catenoid of the 1st kind is obtained.

CMC hypersurfaces with canonical principal direction in space forms

2016 ◽  
Vol 290 (2-3) ◽  
pp. 248-261 ◽  
Author(s):  
A. J. Di Scala ◽  
G. Ruiz-Hernández
Keyword(s):  
Principal Direction ◽  
Space Forms ◽  
Canonical Principal Direction

Surfaces in $${\mathbb{S}^2\times\mathbb{R}}$$ with a canonical principal direction

2008 ◽  
Vol 35 (4) ◽  
pp. 381-396 ◽  
Author(s):  
Franki Dillen ◽  
Johan Fastenakels ◽  
Joeri Van der Veken
Keyword(s):  
Principal Direction ◽  
Canonical Principal Direction

scholarly journals On surfaces endowed with a canonical principal direction in Euclidean 4-spaces

2019 ◽  
Vol 43 (4) ◽  
pp. 1867-1877
Author(s):  
Alev KELLECİ ◽  
Nurettin Cenk TURGAY ◽  
Mahmut ERGÜT
Keyword(s):  
Principal Direction ◽  
Canonical Principal Direction

scholarly journals Hypersurfaces with a canonical principal direction

2012 ◽  
Vol 30 (5) ◽  
pp. 382-391 ◽  
Author(s):  
Eugenio Garnica ◽  
Oscar Palmas ◽  
Gabriel Ruiz-Hernández
Keyword(s):  
Principal Direction ◽  
Canonical Principal Direction
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