Results 41 to 50 of about 42,383 (261)
Normalization of Norden — Chakmazyan for distributions given on a hypersurface
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
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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
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$L_k$-Biharmonic hypersurfaces in the 3-or 4-dimensional Lorentz-Minkowski spaces [PDF]
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
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The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
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]
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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karliğa, B., Hacisalihoğlu, H. H.
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Characterization of Biharmonic Hypersurface
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
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BI-ROTATIONAL HYPERSURFACE WITH Δx=Ax IN 4-SPACE [PDF]
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
A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
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Singular Tropical Hypersurfaces [PDF]
Several improvements.
Alicia Dickenstein, Luis Felipe Tabera
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