Results 81 to 90 of about 112,777 (272)
Differential Geometry and Matrix-Based Generalizations of the Pythagorean Theorem in Space Forms
MathematicsIn this work, we consider Pythagorean triples and quadruples using fundamental form matrices of hypersurfaces in three- and four-dimensional space forms and illustrate various figures. Moreover, we generalize that an immersed hypersphere Mn with radius r
Erhan Güler +2 more
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On the order map for hypersurface coamoebas [PDF]
, 2012 Given a hypersurface coamoeba of a Laurent polynomial f, it is an open problem to describe the structure of the set of connected components of its complement. In this paper we approach this problem by introducing the lopsided coamoeba.
Jens Forsgård, P. Johansson
semanticscholar +1 more source
Helvetica Chimica Acta, EarlyView.Proteins are intrinsically flexible and thus require an ensemble description. In abstract conformer space, ensemble diversity is easier to assess and the required ensemble size can be established. Abstract Pairwise distance root mean square deviation defines a hyperspace where conformers with similar shape reside close to each other.
Gunnar Jeschke
wiley +1 more source
Hypersurfaces and Codazzi tensors [PDF]
Monatshefte für Mathematik, 2008 In this paper we deal with the following problem: Find all Riemannian metrics on a manifold that can be realized isometrically as immersed hypersurfaces in the Euclidean space. We study this problem for a wide class of metrics on hypersurfaces arising from Codazzi tensors.
Hasanis, T., Vlachos, T.
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Angewandte Chemie, Volume 137, Issue 23, June 2, 2025.In a proof‐of‐concept study, it was for the first time shown that planar chiral trans‐cycloalk‐2‐enones, such as 2, can be formed enantioselectively from their cis‐isomers by triplet energy transfer from a chiral catalyst. Computational studies performed with cyclohept‐2‐enone and enone 1 provided invaluable insights into the mode of action of the ...
Max Stierle +10 more
wiley +2 more sources
On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
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General infinitesimal variations of the Hodge structure of ample curves in surfaces
Mathematische Nachrichten, EarlyView.Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley +1 more source
On symplectic hypersurfaces [PDF]
Advanced Studies in Pure Mathematics, 2018 A symplectic variety is a normal complex variety X with a holomorphic symplectic form ω on the regular part X reg and with rational Gorenstein sin-gularities. Affine symplectic varieties arise in many different ways such as closures of nilpotent orbits of a complex simple Lie algebra, as Slodowy slices to such nilpotent orbits or as symplectic ...
Lehn, Manfred +3 more
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The interior volume calculation for an axially symmetric black hole
Physics Letters B, 2019 Since an axially symmetric metric is much more complicated than a spherically symmetric metric, the largest hypersurface that corresponds to the interior volume of a black hole proposed by Christodoulou and Rovelli, cannot be found easily. Analogous to a
Xin-Yang Wang, Wen-Biao Liu
doaj
Min-max minimal hypersurface in $(M^{n+1}, g)$ with $Ric_{g}>0$ and $2\leq n\leq 6$ [PDF]
, 2012 In this paper, we study the shape of the min-max minimal hypersurface produced by Almgren-Pitts in \cite{A2}\cite{P} corresponding to the fundamental class of a Riemannian manifold $(M^{n+1}, g)$ of positive Ricci curvature with $2\leq n\leq 6$.
Xin Zhou
semanticscholar +1 more source