Results 21 to 30 of about 47,483 (226)

Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold

open access: yesJournal of Inequalities and Applications, 2018
Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
doaj   +1 more source

Analytic Detection in Homotopy Groups of Smooth Manifolds

open access: yesСовременная математика: Фундаментальные направления, 2020
In this paper, for the mapping of a sphere into a compact orientable manifoldSn→M,n⩾1, we solve the problem of determining whether it represents a nontrivial element in the homotopy group of the manifoldπn(M) πn(M ). For this purpose, we consistently use
I. S. Zubov
doaj   +1 more source

Contact invariants of Q-Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology

open access: yesAdvances in Mathematics, 2023
Q-Gorenstein toric contact manifolds provide an interesting class of examples of contact manifolds with torsion first Chern class. They are completely determined by certain rational convex polytopes, called toric diagrams, and arise both as links of toric isolated singularities and as prequantizations of monotone toric symplectic orbifolds.
Abreu, Miguel   +2 more
openaire   +3 more sources

IMPROVED CHEN’S INEQUALITIES FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2016
Riemannian invariants (in particular Chen invariants) play an important role in the theory of submanifolds. They are very useful in providing relationships between the extrinsic and intrinsic invariants of a submanifold.
GABRIEL MACSIM
doaj  

Topological invariants for gauge theories and symmetry-protected topological phases

open access: yes, 2015
We study the braiding statistics of particle-like and loop-like excitations in 2D and 3D gauge theories with finite, Abelian gauge group. The gauge theories that we consider are obtained by gauging the symmetry of gapped, short-range entangled, lattice ...
Levin, Michael, Wang, Chenjie
core   +1 more source

On a Riemannian Invariant of Chen Type

open access: yesRocky Mountain Journal of Mathematics, 2008
The paper is submitted to Rocky Mountain Journal of ...
openaire   +3 more sources

Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
Summary: An optimal inequality involving the scalar curvatures, the mean curvature and the \(k\)-Chen invariant is established for Riemannian submanifolds. Particular cases of this inequality is reported. Furthermore, this inequality is investigated on submanifolds, namely slant, \(F\)-invariant and \(F\)-anti invariant submanifolds of an almost ...
Gülbahar, Mehmet   +2 more
openaire   +3 more sources

A class of implicit symmetric symplectic and exponentially fitted Runge–Kutta–Nyström methods for solving oscillatory problems

open access: yesAdvances in Difference Equations, 2018
The construction of implicit Runge–Kutta–Nyström (RKN) method is considered in this paper. Based on the symmetric, symplectic, and exponentially fitted conditions, a class of implicit RKN integrators is obtained.
Huai Yuan Zhai   +2 more
doaj   +1 more source

Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application

open access: yesJournal of New Theory
In 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality.
Amine Yılmaz
doaj   +1 more source

A Mirror Theorem for Toric Stacks

open access: yes, 2014
We prove a Givental-style mirror theorem for toric Deligne--Mumford stacks X. This determines the genus-zero Gromov--Witten invariants of X in terms of an explicit hypergeometric function, called the I-function, that takes values in the Chen--Ruan ...
Coates, Tom   +3 more
core   +1 more source

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