Results 71 to 80 of about 42,946 (260)

Dimensional reduction to hypersurface of foliation [PDF]

, 2013
When the bulk spacetime has a foliation structure, the collective dynamics of the hypersurfaces should reveal certain aspects of the bulk physics. The procedure of reducing the bulk to a hypersurface, called ADM reduction, was implemented in [3] where ...
I. Park
semanticscholar   +1 more source

Dispersion‐Less Dissipative Soliton Fiber Laser

Laser &Photonics Reviews, EarlyView.
A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed, Aurélien Coillet, Philippe Grelu   +2 more
wiley   +1 more source

Differential Geometry and Matrix-Based Generalizations of the Pythagorean Theorem in Space Forms

Mathematics
In 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, Yusuf Yaylı, Magdalena Toda   +2 more
doaj   +1 more source

Centro-affine hypersurface immersions with parallel cubic form [PDF]

, 2012
We consider non-degenerate centro-affine hypersurface immersions in $$\mathbb R^n$$Rn whose cubic form is parallel with respect to the Levi-Civita connection of the affine metric.
R. Hildebrand
semanticscholar   +1 more source

Families of singular algebraic varieties that are rationally elliptic spaces

Mathematische Nachrichten, EarlyView.
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley   +1 more source

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

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

On the hypersurface of Lüroth quartics

Michigan Mathematical Journal, 2010
The hypersurface of Luroth quartic curves inside the projective space of plane quartics has degree 54. We give a proof of this fact along the lines outlined in a paper by Morley, published in 1919. Another proof has been given by Le Potier and Tikhomirov in 2001, in the setting of moduli spaces of vector bundles on the projective plane.
OTTAVIANI, GIORGIO MARIA, E. Sernesi
openaire   +4 more sources

The DNA of Calabi–Yau Hypersurfaces

Fortschritte der Physik, EarlyView.
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, Andreas Schachner, Elijah Sheridan   +2 more
wiley   +1 more source

Singularities of spherical surface in R4

Open Mathematics
In this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
doaj   +1 more source