Results 31 to 40 of about 84,048 (226)
Implicitization of hypersurfaces
Journal of Symbolic Computation, 2017 We present new, practical algorithms for the hypersurface implicitization problem: namely, given a parametric description (in terms of polynomials or rational functions) of the hypersurface, find its implicit equation. Two of them are for polynomial parametrizations: one algorithm, "ElimTH", has as main step the computation of an elimination ideal via ...
ABBOTT, JOHN ANTHONY +2 more
openaire +3 more sources
The Overlooked Dual Phosphorescence of Lappert's Diamino Stannylene Sn[N(SiMe3)2]2
Angewandte Chemie, Volume 137, Issue 36, September 1, 2025.The diamino stannylene Sn[N(SiMe3)2]2 shows rich photophysics and photochemistry: unprecedented dual green/orange phosphorescence with long excited state lifetimes, excimer formation, and unimolecular bond homolysis. Photolytic Sn─N bond homolysis occurs only in the long‐lived excited monomer but not in the excimer.
Philipp Sikora +4 more
wiley +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 +1 more source
Axioms, 2021 We introduce the fourth fundamental form of a Dini-type helicoidal hypersurface in the four dimensional Euclidean space E4. We find the Gauss map of helicoidal hypersurface in E4. We obtain the characteristic polynomial of shape operator matrix. Then, we
Erhan Güler
doaj +1 more source
Proceedings of the Steklov Institute of Mathematics, 2006 We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Eastwood, Michael, Ezhov, V
openaire +4 more sources
International Journal of Mathematics and Mathematical Sciences, 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
doaj +1 more source
An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
AIMS Mathematics, 2020 In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy.
Talat Körpinar, Yasin Ünlütürk
doaj +1 more source
Extrinsic and intrinsic curvatures in thermodynamic geometry
Physics Letters B, 2016 We investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodynamic geometry of a physical system and show that they contain useful thermodynamic information.
Seyed Ali Hosseini Mansoori +2 more
doaj +1 more source
Mathematische Zeitschrift, 1995 Let \(\Gamma_d\) be the set of all smooth hypersurfaces \(V\) in \(\mathbb{P}^{n +1}\) \((n\geq 3)\) of degree \(d\geq n+3\) which have a divisor \(M\) with geometric genus \(p_g(M) < {d-2\choose n+1} - {d-2-k \choose n+k}\), where \(M=V \cap V_1\) and \(k\) is the degree of \(V_1\). We show that every component of \(\Gamma_d\) has codimension \(\geq n\
openaire +2 more sources
Geodesic webs of hypersurfaces [PDF]
Doklady Mathematics, 2009 11 pages, in ...
Lychagin, Valentin V. +1 more
openaire +4 more sources