Results 151 to 160 of about 112,777 (272)

On the hypersurface sections of algebraic varieties embedded in a projective space [PDF]

, 1955
Mieo Nishi, Yoshikazu Nakai
openalex   +1 more source

Willmore-type variational problem for foliated hypersurfaces

Electronic Research Archive
After Thomas James Willmore, many authors were looking for an immersion of a manifold in Euclidean space or Riemannian manifold, which is the critical point of functionals whose integrands depend on the mean curvature or the norm of the second ...
Vladimir Rovenski
doaj   +1 more source

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
doaj   +1 more source

Sur la théorie des hypersurfaces dans un espace à connexion conforme [PDF]

, 1940
Kentaro Yano, Yosio Mutô
openalex   +1 more source

Factorial threefold hypersurfaces

Journal of Algebraic Geometry, 2009
Let X X be a hypersurface in P 4 \mathbb {P}^{4} of degree  d d that has at worst isolated ordinary double points. We prove that X X is factorial in the case when X X has at most ( d −
openaire   +4 more sources

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
doaj   +1 more source

Fundamental forms in the projective differential geometry of $m$-parametric families of hypersurfaces of the second order in the $n$-dimensional space [PDF]

, 1927
Akitsugu Kawaguchi
openalex   +1 more source

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
doaj   +1 more source

Base conditions for hypersurfaces at a point. [PDF]

, 1950
Kôtaro Okugawa
openalex   +1 more source

On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]

J Geom Anal, 2023
Branding V.
europepmc   +1 more source