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20002026
most citedThe LOFAR Two-metre Sky Survey -- V. Second data release

489 citations

Showing 2003Show all

11 papers · 1 filter

math.SG2003

Symplectic forms invariant under free circle actions on 4--manifolds

Boguslaw Hajduk, Rafal Walczak

Let be a smooth compact manifold with a free circle action generated by a vector field Then for any invariant symplectic form on the contracted form is n…

nlin.SI2003★ 10 cited

Geometric discretization of the Bianchi system

A. Doliwa, M. Nieszporski, P. M. Santini

We introduce the dual Koenigs lattices, which are the integrable discrete analogues of conjugate nets with equal tangential invariants, and we find the corresponding reduction of t…

math.DG2003

Diffeomorphisms and almost complex structures on tori

Boguslaw Hajduk, Aleksy Tralle

We prove that there exist diffeomorphisms of tori, supported in a disc, which are not isotopic to symplectomorphisms with respect to any symplectic structure. This yields a partial…

hep-th2003

Cosmological term, mass, and space-time symmetry

Irina Dymnikova

In the spherically symmetric case the requirements of regularity of density and pressures and finiteness of the ADM mass , together with the weak energy condition, define the fa…

nlin.SI2003★ 33 cited

Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve

M. Bialecki, A. Doliwa

We transfer the algebro-geometric method of construction of solutions of the discrete KP equation to the finite field case. We emphasize role of the Jacobian of the underlying alge…

nlin.SI2003★ 21 cited

Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrodinger operator

M. Nieszporski, P. M. Santini, A. Doliwa

With this paper we begin an investigation of difference schemes that possess Darboux transformations and can be regarded as natural discretizations of elliptic partial differential…

gr-qc2003

Regular inflationary cosmology and gauge theories of gravitation

A. V. Minkevich

Cosmological equations for homogeneous isotropic models filled by scalar fields and ultrarelativistic matter are investigated in the framework of gauge theories of gravity. Regular…

hep-ph2003★ 22 cited

A theoretical case for negative mass-square for sub-eV particles

D. V. Ahluwalia-Khalilova, Irina Dymnikova

Electroweak gauge bosons have masses of the order of 10^2 GeV, while masses of additional bosons involved in gravito-electroweak unification are expected to be still higher. These…

gr-qc2003★ 200 cited

Spherically symmetric space-time with the regular de Sitter center

Irina Dymnikova

The requirements are formulated which lead to the existence of the class of globally regular solutions to the minimally coupled GR equations which are asymptotically de Sitter at t…

gr-qc2003★ 70 cited

Nonsingular vacuum cosmologies with a variable cosmological term

K. A. Bronnikov, A. Dobosz, I. G. Dymnikova

We present nonsingular cosmological models with a variable cosmological term described by the second-rank symmetric tensor evolving from to with …

gr-qc2003★ 3 cited

Spherically-symmetric gravitational fields in the metric-affine gauge theory of gravitation

A. V. Minkevich, Yu. G. Vasilevski

Geometric structure of spherically-symmetric space-time in metric-affine gauge theory of gravity is studied. Restrictions on curvature tensor and Bianchi identities are obtained. B…