[HTML][HTML] Differential geometry of 1-type submanifolds and submanifolds with 1-type Gauss map
The theory of finite type submanifolds was introduced by the first author in late 1970s and it
has become a useful tool for investigation of submanifolds. Later, the first author and P …
has become a useful tool for investigation of submanifolds. Later, the first author and P …
Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space
We consider the birotational hypersurface $\mathbf {x (} u, v, w\mathbf {)} $ with the second
Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb {E}}^{4}. $ We …
Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb {E}}^{4}. $ We …
[HTML][HTML] Helical hypersurfaces in Minkowski geometry E 1 4
E Güler - Symmetry, 2020 - mdpi.com
We define helical (ie, helicoidal) hypersurfaces depending on the axis of rotation in
Minkowski four-space E 1 4. There are three types of helicoidal hypersurfaces. We derive …
Minkowski four-space E 1 4. There are three types of helicoidal hypersurfaces. We derive …
Fundamental form IV and curvature formulas of the hypersphere
E Güler - Malaya Journal of Matematik, 2020 - malayajournal.org
We study curvature formulas and the fourth fundamental form IV of hypersurfaces in the four
dimensional Euclidean geometry\(\mathbb {E}^ 4\). We calculate fourth fundamental form …
dimensional Euclidean geometry\(\mathbb {E}^ 4\). We calculate fourth fundamental form …
Bi-rotational hypersurface with Δx= Ax in 4-space
We introduce the bi-rotational hypersurface $\mathbf {x (} u, v, w\mathbf {)} $ in the four
dimensional Euclidean geometry ${\mathbb {E}}^{4}. $ We obtain the $ i $-th curvatures of …
dimensional Euclidean geometry ${\mathbb {E}}^{4}. $ We obtain the $ i $-th curvatures of …
Rotational hypersufaces in with generalized 1-type Gauss map
In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-
Minkowski space concerning the linear second order differential operators $ L_1 $ and …
Minkowski space concerning the linear second order differential operators $ L_1 $ and …
[HTML][HTML] Generalized helical hypersurface with space-like axis in Minkowski 5-space
E Güler - Universe, 2023 - mdpi.com
We introduce the generalized helical hypersurface having a space-like axis in five-
dimensional Minkowski space. We compute the first and second fundamental form matrices …
dimensional Minkowski space. We compute the first and second fundamental form matrices …
[PDF][PDF] Hypersphere satisfying∆ x= Ax in 4-space
E Güler, K Yılmaz - Palestine J. Math, 2022 - pjm.ppu.edu
HYPERSPHERE SATISFYING Ax =Ax IN 4-SPACE Page 1 Palestine Journal of
Mathematics Vol. 11(3)(2022) , 21–30 © Palestine Polytechnic University-PPU 2022 …
Mathematics Vol. 11(3)(2022) , 21–30 © Palestine Polytechnic University-PPU 2022 …
Timelike rotational hypersurfaces with timelike axis in Minkowski four-space
E Güler - Communications Faculty of Sciences University of …, 2023 - dergipark.org.tr
We introduce the timelike rotational hypersurfaces $\textbf {x} $ with timelike axis in
Minkowski 4-space $\mathbb {E} _1^{4} $. We obtain the equations for the curvatures of the …
Minkowski 4-space $\mathbb {E} _1^{4} $. We obtain the equations for the curvatures of the …
Fourth fundamental form and i-th curvature formulas in
E Güler - São Paulo Journal of Mathematical Sciences, 2024 - Springer
We introduce fourth fundamental form IV, and i-th curvature formulas of hypersurfaces in the
four dimensional Euclidean geometry E 4. Defining fourth fundamental form and i-th …
four dimensional Euclidean geometry E 4. Defining fourth fundamental form and i-th …