Results 151 to 160 of about 91,366 (255)

Investigating the characteristics of Clifford hypersurfaces and the unit sphere via a minimal immersion in $ S^{n+1} $

open access: yesAIMS 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

Factorial threefold hypersurfaces

open access: yesJournal 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

Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces [PDF]

open access: yesarXiv
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.
arxiv  

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