scholarly journals ON GENERALIZED ROTATIONAL SURFACES IN EUCLIDEAN SPACES

2017 ◽  
Vol 54 (3) ◽  
pp. 999-1013 ◽  
Author(s):  
Kadri Arslan ◽  
Betul Bulca ◽  
Didem Kosova
Keyword(s):  
Euclidean Spaces ◽  
Rotational Surfaces

scholarly journals Coordinate finite type rotational surfaces in Euclidean spaces

Filomat ◽  
2014 ◽  
Vol 28 (10) ◽  
pp. 2131-2140
Author(s):  
Bengü Bayram ◽  
Kadri Arslan ◽  
Nergiz Nen ◽  
Betü Bulca
Keyword(s):  
Euclidean Space ◽  
Finite Type ◽  
Euclidean Spaces ◽  
Coordinate Functions ◽  
Rotational Surfaces

Submanifolds of coordinate finite-type were introduced in [10]. A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of ?. In the present study we consider coordinate finite-type surfaces in E4. We give necessary and su_cient conditions for generalized rotation surfaces in E4 to become coordinate finite-type. We also give some special examples.

Rotational surfaces in higher dimensional Euclidean spaces

2016 ◽  
Vol 67 (1) ◽  
pp. 59-66
Author(s):  
K. Arslan ◽  
B. Bayram ◽  
B. Bulca ◽  
D. Kosova ◽  
G. Öztürk
Keyword(s):  
Euclidean Spaces ◽  
Higher Dimensional ◽  
Rotational Surfaces

scholarly journals Ancient solutions for Andrews’ hypersurface flow

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Peng Lu ◽  
Jiuru Zhou
Keyword(s):  
Ricci Flow ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Euclidean Spaces ◽  
Round Cylinder ◽  
Ancient Solutions ◽  
Singular Time

AbstractWe construct the ancient solutions of the hypersurface flows in Euclidean spaces studied by B. Andrews in 1994.As time {t\rightarrow 0^{-}} the solutions collapse to a round point where 0 is the singular time. But as {t\rightarrow-\infty} the solutions become more and more oval. Near the center the appropriately-rescaled pointed Cheeger–Gromov limits are round cylinder solutions {S^{J}\times\mathbb{R}^{n-J}}, {1\leq J\leq n-1}. These results are the analog of the corresponding results in Ricci flow ({J=n-1}) and mean curvature flow.

scholarly journals Equiangular lines in Euclidean spaces

2016 ◽  
Vol 138 ◽  
pp. 208-235 ◽  
Author(s):  
Gary Greaves ◽  
Jacobus H. Koolen ◽  
Akihiro Munemasa ◽  
Ferenc Szöllősi
Keyword(s):  
Euclidean Spaces ◽  
Equiangular Lines

scholarly journals On embedding of graphs into euclidean spaces of small dimension

1992 ◽  
Vol 56 (1) ◽  
pp. 1-8 ◽  
Author(s):  
J Reiterman ◽  
V Rödl ◽  
E S̆in̆ajová
Keyword(s):  
Small Dimension ◽  
Euclidean Spaces
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