Results 1 to 10 of about 112,801 (273)
Convergence of formal embeddings between real-analytic hypersurfaces in codimension one [PDF]
, 2002 We show that every formal embedding sending a real-analytic strongly pseudoconvex hypersurface in $M\subset \C^N$ into another such hypersurface in $M'\subset \C^{N+1}$ is convergent.
Mir, Nordine
core +4 more sources
Polymer brush hypersurface photolithography
Nature Communications, 2020 Various lithographic approaches are being explored to create polymer brush patterns with micrometer-scale feature dimensions. Here the authors demonstrate a printing approach which allows independent control of the monomer composition and feature height ...
Carlos Carbonell +7 more
doaj +2 more sources
Affine differential geometry of osculating hypersurfaces
Lietuvos Matematikos Rinkinys, 2012 Osculating surfaces of second order have been studied in classical affine differential geometry [1]. In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
doaj +3 more sources
On special quadratic birational transformations of a projective space into a hypersurface [PDF]
, 2012 We study transformations as in the title with emphasis on those having smooth connected base locus, called “special”. In particular, we classify all special quadratic birational maps into a quadric hypersurface whose inverse is given by quadratic forms ...
Giovanni Staglianò
openalex +2 more sources
The Du Bois complex of a hypersurface and the minimal exponent [PDF]
Duke mathematical journal, 2021 We study the Du Bois complex $\underline{\Omega}_Z^\bullet$ of a hypersurface $Z$ in a smooth complex algebraic variety in terms its minimal exponent $\widetilde{\alpha}(Z)$.
M. Mustaţă +3 more
semanticscholar +1 more source
Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space
Universe, 2023 We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
doaj +1 more source
A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
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Positive scalar curvature and minimal hypersurface singularities [PDF]
Surveys in Differential Geometry, 2017 In this paper we develop methods to extend the minimal hypersurface approach to positive scalar curvature problems to all dimensions. This includes a proof of the positive mass theorem in all dimensions without a spin assumption.
R. Schoen, S. Yau
semanticscholar +1 more source
Realizing Wireless Communication Through Software-Defined HyperSurface Environments [PDF]
IEEE International Symposium on a World of Wireless, Mobile and Multimedia Networks, 2018 Wireless communication environments are unaware of the ongoing data exchange efforts within them. Moreover, their effect on the communication quality is intractable in all but the simplest cases.
C. Liaskos +5 more
semanticscholar +1 more source
Hypersurfaces of a Sasakian manifold - revisited
Journal of Inequalities and Applications, 2021 We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a Sasakian manifold determines a vector field v on a hypersurface that is the component of the Reeb vector field ξ tangential to the hypersurface, and it also gives
Sharief Deshmukh +3 more
doaj +1 more source