A Characterization of Chen Surfaces in Ε4
Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 2
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In the present study, we calculate the coefficients of the second fundamental form and curvature ellipse of Chen surfaces in Ε 4 . Further, we give the necessary and sufficent condition for the origin of N p M to lie on the curvature ellipse of Vranceanu surfaces, which are special type of Chen surfaces.
Classification :
53C40, 53C42.
@article{BMMS_2008_31_2_a9,
author = {Esen Iyigun and Kadri Arslan and Gunay Ozturk},
title = {A {Characterization} of {Chen} {Surfaces} in {E4}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2008},
volume = {31},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a9/}
}
Esen Iyigun; Kadri Arslan; Gunay Ozturk. A Characterization of Chen Surfaces in Ε4. Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a9/