Results 121 to 130 of about 8,796 (232)
On the RICCI Metric of a Hypersurface
Mathematische Nachrichten, 1991 Assume the Riemannian manifold \((M,\langle\;,\;\rangle)\) to have positive Ricci curvature; then by the Ricci tensor a second Riemannian metric, denoted by \(\langle\;,\;\rangle_ *\), is defined on \(M\). In the present paper the author studies this metric on ovaloids in Euclidean space \(E^{n+1}\).
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Almost-toric hypersurfaces [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2015 12 pages, 2 ...
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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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Extension of holomorphic functions from one side of a hypersurface [PDF]
, 2005 We give a new proof of former results by G. Zampieri and the author on extension of holomorphic functions from one side of a real hypersurface M of Cn in the presence of an analytic disc tangent to M, attached to ̄ but not to M. Our method enables us
BARACCO, LUCA, Luca Baracco
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Indecomposable syzygy-modules of high rank over hypersurface rings [PDF]
, 1988 In this paper we construct certain indecomposable syzygy modules over graded hypersurface rings and give a lower bound of their rank.Thereby we show that there is no upper bound for the ranks of the indecomposable maximal Cohen-Macaulay modules over a ...
Herzog, Jürgen, Sanders, Herbert
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On the Zeta Function of a Hypersurface: II [PDF]
The Annals of Mathematics, 1962 The author continues his strikingly original work on the zeta function of an algebraic variety defined over a finite field. Here he considers a nonsingular hypersurface \(H\) of degree \(d\) in projective \(n\)-space over the field \(k=GF(q)\). The Weil conjectures predict that its zeta function has the form \[ \zeta(H,t)=P(t)^{(-1)^n}/\prod_0^{n-1}(1 ...
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Initial logarithmic Lie algebras of hypersurface singularities [PDF]
, 2009 We introduce a Lie algebra of initial terms of logarithmic vector fields along a hypersurface singularity. Extending the formal structure theorem in [GS06, Thm. 5.4], we show that the completely reducible part of its linear projection lifts formally to a
J.M. Granger, M. Schulze
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Sur une hypersurface cubique de l'espace à quatre dimensions [PDF]
, 1970 Construction de la variété image d'une involution cyclique du troisième ordre appartenant à une hypersurface cubique de l'espace à quatre dimensions. Applications.Godeaux Lucien. Sur une hypersurface cubique de l'espace à quatre dimensions.
Lucien Godeaux, Godeaux, Lucien
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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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On the structure vector field of a real hypersurface in complex quadric
Open Mathematics, 2018 From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
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