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

489 citations

Showing 2013Show all

12 papers · 1 filter

nlin.SI2013★ 3 cited

Non-commutative q-Painleve VI equation

Adam Doliwa

By applying suitable centrality condition to non-commutative non-isospectral lattice modified Gel'fand-Dikii type systems we obtain the corresponding non-autonomous equations. Then…

math.GR2013★ 9 cited

Clifford-Klein forms and a-hyperbolic rank

Maciej Bochenski, Aleksy Tralle

The porpose of this article is to introduce and investigate properties of a tool (the a-hyperbolic rank) which enables us to obtain new examples of homogeneous spaces G/H which adm…

nlin.SI2013★ 22 cited

Discrete KP equation with self-consistent sources

Adam Doliwa, Runliang Lin

We show that the discrete Kadomtsev-Petviashvili (KP) equation with sources obtained recently by the "source generalization" method can be incorporated into the squared eigenfuncti…

gr-qc2013★ 6 cited

On theory of regular accelerating Universe in Riemann-Cartan spacetime

A. V. Minkevich

Isotropic cosmology built in the Riemann-Cartan spacetime is investigated. Properties of homogeneous isotropic cosmological models filled with usual gravitating matter and scalar f…

nlin.SI2013★ 31 cited

Non-commutative rational Yang-Baxter maps

Adam Doliwa

Starting from multidimensional consistency of non-commutative lattice modified Gel'fand-Dikii systems we present the corresponding solutions of the functional (set-theoretic) Yang-…

nlin.SI2013★ 7 cited

Desargues maps and their reductions

Adam Doliwa

We present recent developments on geometric theory of the Hirota system and of the non-commutative discrete Kadomtsev-Petviashvili (KP) hierarchy adding also some new results which…

math.AG2013

Transformations of polar Grassmannians preserving certain intersecting relations

Wen Liu, Mark Pankov, Kaishun Wang

Let be a polar space of rank . Denote by the polar Grassmannian formed by singular subspaces of whose projective dimension is equal to . Su…

math.DG2013★ 8 cited

On simply connected K-contact non-Sasakian manifolds

Boguslaw Hajduk, Aleksy Tralle

We solve the problem posed by Boyer and Galicki about the existence of K-contact simply connected manifolds with no Sasakian structure. Although the result lies in the framework of…

math.RT2013

Geometrical characterization of semilinear isomorphisms of vector spaces and semilinear homeomorphisms of normed spaces

Mark Pankov

Let and be vector spaces over division rings (possible infinite-dimensional) and let and be the associated projective spaces. We say t…

gr-qc2013★ 16 cited

On some physical aspects of isotropic cosmology in Riemann-Cartan spacetime

A. V. Minkevich, A. S. Garkun, V. I. Kudin

Isotropic cosmology built in the framework of the Poincaré gauge theory of gravity based on sufficiently general expression of gravitational Lagrangian is considered. The derivatio…

nlin.SI2013★ 22 cited

Non-commutative lattice modified Gel'fand-Dikii systems

Adam Doliwa

We introduce integrable multicomponent non-commutative lattice systems, which can be considered as analogs of the modified Gel'fand-Dikii hierarchy. We present the corresponding sy…

math.DG2013

Generalized symplectic symmetric spaces

Maciej Bochenski, Aleksy Tralle

Bielavsky introduced and investigated the class of symmetric symplectic spaces, that is, symmetric spaces endowed with a symplectic form invariant with respect to symmetries. Since…