Results 91 to 100 of about 72,858 (181)
The DNA of Calabi–Yau Hypersurfaces
Fortschritte der Physik, Volume 74, Issue 2, February 2026.Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden +2 more
wiley +1 more source
Witten genera of complete intersections
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley +1 more source
Convergence of formal embeddings between real-analytic hypersurfaces in codimension one
, 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 +2 more sources
Hypersurfaces of cohomogeneity one and hypersurfaces of revolution
Differential Geometry and its Applications, 2004 A Riemannian manifold \(M\) equipped with a Lie group \(G\) of isometries has cohomogeneity \(1\) whenever the principal \(G\)-orbits are of codimension \(1\). Here, the authors deal with such complete cohomogeneity-\(1\) hypersurfaces \(M\) in \(\mathbb R^{n+1}\), \(n\geq 3\), which are unflat at infinity. He proves the following results: (1) If \(G\)
Mercuri, Francesco +1 more
openaire +2 more sources
Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces
Abstract and Applied Analysis, 2014 The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces.
Sun, Jianguo, Pei, Donghe
openaire +4 more sources
Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space
MathematicsIn the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these
Yanlin Li, Erhan Güler
doaj +1 more source
DECOMPOSABLE AFFINE HYPERSURFACES
Kyushu Journal of Mathematics, 2014 In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces.
Antić, Miroslava +3 more
openaire +3 more sources
Ternary Gas Mixture Quantification Using Field Asymmetric Ion Mobility Spectrometry (FAIMS)
Sensors, 2019 Gas mixture quantification is essential for the recording and reproducing odors, because an odor consists of multiple chemical compounds. Gas mixture quantification using field asymmetric ion mobility spectrometry (FAIMS) was studied.
Yasufumi Yokoshiki, Takamichi Nakamoto
doaj +1 more source
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
Some Integral Formulas for the (r + 1)th Mean Curvature of a Closed Hypersurface
International Journal of Mathematics and Mathematical Sciences, 2012 By using the operator 𝐿𝑟, we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the (𝑟+1)th mean curvature for a closed hypersurface of the Euclidean space ...
Akram Mohammadpouri, S. M. B. Kashani
doaj +1 more source