Showing papers in "Journal of Geometry and Physics in 2014"

TL;DR: In this article, the authors construct new compactifications with good properties of moduli spaces of maps from nonsingular marked curves to a large class of GIT quotients, which generalizes from a unified perspective many particular examples considered earlier in the literature.

TL;DR: In this paper, Quadratic Hom-Lie algebras with symmetric invariant non-degenerate bilinear forms are introduced and studied, including adjoint and coadjoint representations.

TL;DR: In this paper, the authors describe all finite orbits of an action of the extended modular group Λ on conjugacy classes of S L 2 (C ) -triples, and classify all algebraic solutions of the general Painleve VI equation up to parameter equivalence.

TL;DR: In this paper, a classification of AI topological quantum systems in dimension d = 1, 2, 3, 4 is presented based on the equivariant homotopy properties of real vector bundles.

TL;DR: In this paper, the notion of *-Ricci soliton is introduced and real hypersurfaces in non-flat complex space forms admitting a *-ricci s soliton with potential vector field being the structure vector field.

TL;DR: In this article, the authors considered the four-dimensional integrable Martinez Alonso-Shabat equation and presented three integrably three-dimensional reductions thereof, and also constructed an infinite hierarchy of commuting nonlocal symmetries (and not just the shadows, as it is usually the case in the literature).

TL;DR: In this paper, the structural structure underlying the Lie 3-algebra of superconformal models in six space-time dimensions has been revealed, and the generalized Bianchi identities can be retrieved concisely from Q 2 = 0, which encode all the essence of the structural identities.

TL;DR: In this paper, the authors consider a FLRW space-time, filled with a perfect fluid described by a barotropic equation of state (p = γ ρ ), and give the equivalent mini-superspace description and use the reparametrization invariance of the resulting Lagrangian to work in the equivalent constant potential description.

TL;DR: In this article, the Ricci solitons of four-dimensional homogeneous pseudo-Riemannian manifolds are classified using an explicit description in global coordinates of invariant metrics.

TL;DR: In this article, the authors study topological and metric properties of spaces in which a cut-off is introduced, and show that the cutoff induces a minimal length between points, which is infinite if P has finite rank.

TL;DR: In this article, a general 3 × 3 spectral problem is proposed and related flows, which are four-component CH type equations, are constructed, and infinitely many conserved quantities are worked out for the relevant systems.

TL;DR: In this paper, the spectral representation of the eigen function is developed and the squared eigenfunction potential is investigated, and the spectral potential of the tau function is investigated.

TL;DR: In this paper, it was shown that the Sasakian metric on the Heisenberg group H 2 n + 1 is a non-trivial Ricci soliton of such type, and that if an η -Einstein contact metric manifold has a vector field V leaving the structure tensor and the scalar curvature invariant, then either V is an infinitesimal automorphism, or M is D -homothetically fixed K -contact.

TL;DR: In this article, a spectral triple for κ-Minkowski space in two dimensions is constructed using a weight which is invariant under the κ -Poincare algebra.

TL;DR: In this article, the existence and uniqueness of extremal paths for the length functional are established, and regularity properties of these extremal path are obtained by means of the Euler-Lagrange equations.

TL;DR: In this paper, it was shown that Chen's conjecture is true for hypersurfaces with three distinct principal curvatures in Euclidean 5-spaces, where Δ is a rough Laplacian operator and H denotes the mean curvature vector.

TL;DR: In this paper, a complete list of homogeneous third-order Hamiltonian operators with n ≤ 3 components is given, based on the correspondence with quadratic line complexes, and a complete set of such operators is obtained.

TL;DR: In this article, the authors give a construction of G2 and Spin(7) instantons on exceptional holonomy manifolds constructed by Bryant and Salamon, by using an ansatz of spherical symmetry coming from the manifolds being the total spaces of rank-4 vector bundles.

TL;DR: The first G 2 -monopoles on the 3 Bryant-Salamon manifold were constructed in this paper for the total space of the bundle of anti-self-dual two forms over S 4 and C P 2.

TL;DR: In this paper, a modification to the Lie algebra S-expansion method is proposed by imposing a condition on the Sexpansion procedure, when the semigroup is given by a cyclic group of even order.

TL;DR: In this article, the divergence theorems in semi-Riemannian supergeometry were established by means of the flow of vector fields and boundary integrals, and showed how superharmonic functions are related to conserved quantities.

TL;DR: In this paper, a family of composite black brane solutions in the model with scalar fields and fields of forms is presented, where the metric of any solution is defined on a manifold which contains a product of several Ricci-flat "internal" spaces.

TL;DR: In this paper, the authors apply Cartan's method of equivalence to find a contact integrable extension for the structure equations of the symmetry pseudo-group of the four-dimensional Martinez Alonso-Shabat equation.

TL;DR: The Frobenius-Virasoro algebra (FVIA) as mentioned in this paper is an F-valued generalization of Virasoro algebras, where the regular dual of F is an algebra over R.

TL;DR: In this paper, the authors consider spacetimes consisting of a manifold with Lorentzian metric and a weight function or scalar field and obtain singularity theorems for zero and for positive cosmological constant.

TL;DR: In this article, it was shown that if two 4-dimensional metrics of arbitrary signature on one manifold are geodesically equivalent (i.e., have the same geodesics considered as unparameterized curves) and are solutions of the Einstein field equation with the same stress energy tensor, then they are affinely equivalent or flat.

TL;DR: In this article, the torus fixed locus of the moduli space of stable sheaves with Hilbert polynomial 4 m + 1 on P 2 has been described, which leads to the computation of the Betti and Hodge numbers.

TL;DR: In this paper, the authors give a model for the Weyl algebra in an algebraic framework, only requiring a field of characteristic zero, where the convergence of the star product is controlled for a large completion of the symmetric algebra.

TL;DR: In this paper, the authors investigated the formation and propagation of singularities for the system for one-dimensional Chaplygin gas, which is described by a quasilinear hyperbolic system with linearly degenerate characteristic fields.

TL;DR: Fernandez Culma, Edison Alberto, and Eduardo Alberto as mentioned in this paper presented the Centro Cientifico Tecnologico Conicet -Cordoba. Centro de Investigacion y Estudios de Matematica; Argentina.