[图书][B] Total mean curvature and submanifolds of finite type
BY Chen - 2014 - books.google.com
During the last four decades, there were numerous important developments on total mean
curvature and the theory of finite type submanifolds. This unique and expanded second …
curvature and the theory of finite type submanifolds. This unique and expanded second …
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 …
The Gauss map and the third Laplace-Beltrami operator of the rotational hypersurface in 4-space
E Güler, HH Hacısalihoğlu, YH Kim - Symmetry, 2018 - mdpi.com
We study and examine the rotational hypersurface and its Gauss map in Euclidean four-
space E 4. We calculate the Gauss map, the mean curvature and the Gaussian curvature of …
space E 4. We calculate the Gauss map, the mean curvature and the Gaussian curvature of …
Cheng–Yau operator and Gauss map of surfaces of revolution
DS Kim, JR Kim, YH Kim - Bulletin of the Malaysian Mathematical …, 2016 - Springer
We study the Gauss map G of surfaces of revolution in the 3-dimensional Euclidean space
E^ 3 E 3 with respect to the so-called Cheng–Yau operator\square□ acting on the functions …
E^ 3 E 3 with respect to the so-called Cheng–Yau operator\square□ acting on the functions …
Cheng–yau operator and gauss map of rotational hypersurfaces in 4-space
We consider rotational hypersurface in the four-dimensional Euclidean space E^ 4 E 4. We
study the Gauss map GG of rotational hypersurface in E^ 4 E 4 with respect to the so-called …
study the Gauss map GG of rotational hypersurface in E^ 4 E 4 with respect to the so-called …
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 …
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 …
Anchor rings of finite type Gauss map in the Euclidean 3-space
H Al-Zoubi - arXiv preprint arXiv:1902.09397, 2019 - arxiv.org
arXiv:1902.09397v1 [math.DG] 3 Feb 2019 Page 1 arXiv:1902.09397v1 [math.DG] 3 Feb 2019
ANCHOR RINGS OF FINITE TYPE GAUSS MAP IN THE EUCLIDEAN 3-SPACE HASSAN …
ANCHOR RINGS OF FINITE TYPE GAUSS MAP IN THE EUCLIDEAN 3-SPACE HASSAN …
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 …