Izvorni znanstveni članak
General rotational surfaces in Euclidean space $\mathbb{E}^4$ 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
Sažetak
In this paper, we study general rotational surfaces in $\mathbb E^4$ with pointwise 1-type Gauss map.
We consider general rotational surfaces in $\mathbb E^4$ whose meridian curves lie in two-dimensional planes.
We firstly obtain all general rotational surfaces in $\mathbb E^4$
with proper pointwise 1-type Gauss map of the first kind.
Then we classify minimal rotational surfaces of $\mathbb E^4$
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
Datum izdavanja:
12.6.2012.
Posjeta: 1.350 *