Mahmut Bektas - Academia.edu (original) (raw)

Mahmut Bektas

Related Authors

Angel Stromainyst

Krishan Duggal

Marco  Rigoli

Marco Rigoli

Università degli Studi di Milano - State University of Milan (Italy)

Sorin Dragomir

Sayantan Sartkar

Uploads

Papers by Mahmut Bektas

Research paper thumbnail of COMPACT HYPERSURFACES IN EUCLIDEAN SPACE AND SOME INEQUALITIES

M g be a compact immersed hypersurface of ( ) 1 , , n R + < > , 1 λ the first nonzero eigenvalue,... more M g be a compact immersed hypersurface of ( ) 1 , , n R + < > , 1 λ the first nonzero eigenvalue, α the mean curvature, ρ the support function, A the shape operator, ( ) vol M the volume of M, and S the scalar curvature of M. In this paper, we established some eigenvalue inequalities and proved the above.

Research paper thumbnail of ON THE HELICES IN THE GALILEAN SPACE G3

T. Ikawa obtained an ordinary differential equation for the circular helix. Recently, the helix h... more T. Ikawa obtained an ordinary differential equation for the circular helix. Recently, the helix have been investigated by many differential geometers such as T. Ikawa, H. Balgetir, M. Bektas, M. Ergut, N. Ekmekci and H. H. Hacısalihoglu. In this paper, making use of this author's methods, we obtained characterizations of helix for a curve with respect to the Frenet frame in 3-dimensional Galilean space G 3 .

Research paper thumbnail of COMPACT HYPERSURFACES IN EUCLIDEAN SPACE AND SOME INEQUALITIES

M g be a compact immersed hypersurface of ( ) 1 , , n R + < > , 1 λ the first nonzero eigenvalue,... more M g be a compact immersed hypersurface of ( ) 1 , , n R + < > , 1 λ the first nonzero eigenvalue, α the mean curvature, ρ the support function, A the shape operator, ( ) vol M the volume of M, and S the scalar curvature of M. In this paper, we established some eigenvalue inequalities and proved the above.

Research paper thumbnail of ON THE HELICES IN THE GALILEAN SPACE G3

T. Ikawa obtained an ordinary differential equation for the circular helix. Recently, the helix h... more T. Ikawa obtained an ordinary differential equation for the circular helix. Recently, the helix have been investigated by many differential geometers such as T. Ikawa, H. Balgetir, M. Bektas, M. Ergut, N. Ekmekci and H. H. Hacısalihoglu. In this paper, making use of this author's methods, we obtained characterizations of helix for a curve with respect to the Frenet frame in 3-dimensional Galilean space G 3 .

Log In