Results 41 to 50 of about 42,383 (261)

Normalization of Norden — Chakmazyan for distributions given on a hypersurface

open access: yesДифференциальная геометрия многообразий фигур, 2020
In the projective space, we continue to study a hypersurface with three strongly mutual distributions. For equipping distributions of a hypersurface, normalization in the sense of Norden — Chakmazyan is introduced internally.
N.A. Eliseeva
doaj   +1 more source

The Fourth Fundamental Form IV of Dini-Type Helicoidal Hypersurface in the Four Dimensional Euclidean Space

open access: yesAxioms, 2021
We introduce the fourth fundamental form of a Dini-type helicoidal hypersurface in the four dimensional Euclidean space E4. We find the Gauss map of helicoidal hypersurface in E4. We obtain the characteristic polynomial of shape operator matrix. Then, we
Erhan Güler
doaj   +1 more source

$L_k$-Biharmonic hypersurfaces in the 3-or 4-dimensional Lorentz-Minkowski spaces [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
A hypersurface $ M^n $ in the Lorentz-Minkowski space $\mathbb{L}^{n+1} $ is called $ L_k $-biharmonic if the position vector $ \psi $ satisfies the condition $ L_k^2\psi =0$, where $ L_k$ is the linearized operator of the $(k+1)$-th mean curvature of ...
Rahim Hoseinoghli, Akram Mohammadpouri
doaj   +1 more source

The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space

open access: yesSymmetry, 2018
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 the rotational hypersurface and obtain some results.
Erhan Güler   +2 more
semanticscholar   +1 more source

F-theory on all toric hypersurface fibrations and its Higgs branches [PDF]

open access: yes, 2014
A bstractWe consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with their fibers realized as hypersurfaces in the toric varieties associated to the 16 reflexive 2D polyhedra.
Denis Klevers   +4 more
semanticscholar   +1 more source

On the Minimal Hypersurfaces

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1983
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karliğa, B., Hacisalihoğlu, H. H.
openaire   +3 more sources

Characterization of Biharmonic Hypersurface

open access: yesResearches in Mathematics, 2022
The main purpose of this paper is to study biharmonic hypersurface in a quasi-paraSasakian manifold $\mathbb{Q}^{2m+1}$. Biharmonic hypersurfaces are special cases of biharmonic maps and biharmonic maps are the critical points of the bienergy functional.
S.K. Srivastava, K. Sood, K. Srivastava
doaj   +1 more source

BI-ROTATIONAL HYPERSURFACE WITH Δx=Ax IN 4-SPACE [PDF]

open access: yes, 2022
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 the hypersurface.
Yayli, Yusuf   +4 more
core   +2 more sources

On a theorem of H. Hopf

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
doaj   +1 more source

Singular Tropical Hypersurfaces [PDF]

open access: yesDiscrete & Computational Geometry, 2011
Several improvements.
Alicia Dickenstein, Luis Felipe Tabera
openaire   +5 more sources

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