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General rotational surfaces in Euclidean space E4 with pointwise 1-type Gauss map

Uğur Dursun ; Department of Mathematics, Faculty of Science andLetters, Istanbul Technical University, Maslak, Istanbul, Turkey
Nurretin Cenk Turgay ; Department of Mathematics, Faculty of Science andLetters, Istanbul Technical University, Maslak, Istanbul, Turkey


Puni tekst: engleski pdf 212 Kb

str. 71-81

preuzimanja: 1.133

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Sažetak

In this paper, we study general rotational surfaces in E4 with pointwise 1-type Gauss map.
We consider general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes.
We firstly obtain all general rotational surfaces in E4
with proper pointwise 1-type Gauss map of the first kind.
Then we classify minimal rotational surfaces of E4
with proper pointwise 1-type Gauss map of the second kind.

Ključne riječi

Rotational surfaces; minimal surface; normal bundle; mean curvature; pointwise 1-type; Gauss map

Hrčak ID:

82985

URI

https://hrcak.srce.hr/82985

Datum izdavanja:

12.6.2012.

Posjeta: 1.920 *

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