Results 121 to 130 of about 42,946 (260)

Curvatures of the Factorable Hypersurface

Journal of Advances in Mathematics and Computer Science, 2020
The curvatures    of a factorable hypersurface are introduced in the four-dimensional Euclidean space. It is also given some relations on  of the factorable hypersurface.
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Generic hypersurface singularities

Proceedings - Mathematical Sciences, 1997
We give a new differential proof of our result on the maximal rank of generic unions of points of multiplicity two in projective space in degrees greater than five. This simplifies somewhat our proof of the Waring conjecture.
Alexander, James, Hirschowitz, André
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Rigidity theorems of $λ$-hypersurfaces [PDF]

, 2014
Qing-Ming Cheng, Shiho Ogata, Guoxin Wei
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Embedded positive constant r-mean curvature hypersurfaces in Mm × R

Anais da Academia Brasileira de Ciências, 2005
Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m + 1)-dimensional product manifold M x R with positive constant r-mean curvature.
Cheng Xu, Rosenberg Harold
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Wolff's inequality for hypersurfaces [PDF]

, 2004
Izabella Łaba, Malabika Pramanik
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Some Integral Formulas for the (r + 1)th Mean Curvature of a Closed Hypersurface

International Journal of Mathematics and Mathematical Sciences, 2012
By using the operator 𝐿𝑟, we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the (𝑟+1)th mean curvature for a closed hypersurface of the Euclidean space ...
Akram Mohammadpouri, S. M. B. Kashani
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Investigating the characteristics of Clifford hypersurfaces and the unit sphere via a minimal immersion in $ S^{n+1} $

AIMS Mathematics
In this article, we find the different sufficient conditions for a compact minimal hypersurface $ M $ of the unit sphere $ S^{n+1}, n\in \mathbb{Z}^{+} $ to be the Clifford hypersurface $ S^{\ell }(\sqrt{\frac{\ell }{n}})\times S^{m}(\sqrt{\frac{m}{n}}),
Ibrahim Al-dayel
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Semiglobal results for $\bar{\partial}_{b}$ on weakly convex hypersurfaces in $\mathbb{C}^{n}$ [PDF]

, 2000
Sophia Vassiliadou
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Global hypersurfaces of section for geodesic flows on convex hypersurfaces

Archiv der Mathematik
We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admits an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.
Sunghae Cho, Dongho Lee
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The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

Abstract and Applied Analysis, 2013
We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic
Yisheng Lai, Weiping Du, Renhong Wang
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