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math.DG2020
Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space
Alev Kelleci, Luiz C. B. da Silva
We consider the extrinsic geometry of surfaces in simply isotropic space, a three-dimensional space equipped with a rank 2 metric of index zero. Since the metric is degenerate, a s…
math.DG2018
On surfaces endowed with canonical principal direction in Euclidean spaces
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt
In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. We obtain the complete classification of surfaces endowed…
math.DG2018
On generalized constant ratio surfaces with higher codimension
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt
In this paper, we study generalized constant ratio surfaces in the Euclidean 4-space. We also obtain a classifications of constant slope surfaces.