Results 161 to 170 of about 91,366 (255)

Hypersurfaces that are not stably rational

open access: yesJournal of the American Mathematical Society, 2015
We show that a wide class of hypersurfaces in all dimensions are not stably rational. Namely, for all d ≥ 2 ⌈ ( n + 2 ) / 3 ⌉ d\geq 2\lceil (n+2)/3\rceil and n ≥ 3 n\geq 3 , a very general complex ...
openaire   +3 more sources

Hopf-type hypersurfaces on Hermite-like manifolds [PDF]

open access: yesarXiv
The object of this paper is to introduce new classes of hypersurfaces of almost product-like statistical manifolds. The main properties and relations on $K-$para contact, para cosymplectic, para Sasakian and conformal hypersurfaces are obtained. Some examples of these hypersurfaces are presented.
arxiv  

Sums of Squares on Hypersurfaces

open access: yesResults in Mathematics
We show that the Pythagoras number of rings of type $\mathbb{R}[x,y, \sqrt{f(x,y)}]$ is infinite, provided that the polynomial $f(x,y)$ satisfies some mild conditions.
Kacper Błachut, Tomasz Kowalczyk
openaire   +3 more sources

Erratum to "Bernstein-type theorems in hypersurfaces with constant mean curvature" [An Acad Bras Cienc 72(2000): 301-310]

open access: yesAnais da Academia Brasileira de Ciências, 2001
An erratum to Lemma 2.1 in Do Carmo and Zhou (2000) is presented.
CARMO MANFREDO P. DO, ZHOU DETANG
doaj  

A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds

open access: yesДифференциальная геометрия многообразий фигур
From 1950s, it is known that an almost contact metric structure is in­duced on an arbitrary oriented hypersurface in an almost Hermitian mani­fold. In accordance with the definition, an almost Hermitian manifold satisfies the axiom of almost contact ...
A. Abu-Saleem   +2 more
doaj   +1 more source

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