Search Results - "Nikčević, Stana"
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Homogeneity of Lorentzian three-manifolds with recurrent curvature
Published in Mathematische Nachrichten (01-01-2014)“…k‐Curvature homogeneous three‐dimensional Walker metrics are described for k≤2. This allows a complete description of locally homogeneous three‐dimensional…”
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Geometric realizations, curvature decompositions, and Weyl manifolds
Published in Journal of geometry and physics (2011)“…We show that any Weyl curvature model can be geometrically realized by a Weyl manifold…”
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Curvature Properties of Weyl Geometries
Published in Resultate der Mathematik (01-05-2011)“…We examine relations between geometry and the associated curvature decompositions in Weyl Geometry…”
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Geometric Theory of Equiaffine Curvature Tensors
Published in Resultate der Mathematik (01-12-2009)“… From [4] we continue the algebraic investigation of generalized and equiaffine curvature tensors in a given pseudo-Euclidean vector space and study different…”
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Geometrical Representations of Equiaffine Curvature Operators
Published in Resultate der Mathematik (01-09-2008)“… We examine geometric representability results for various classes of equiaffine curvature operators…”
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Geometric Realizations of Para-Hermitian Curvature Models
Published in Resultate der Mathematik (01-12-2009)“… We show that a para-Hermitian algebraic curvature model satisfies the para-Gray identity if and only if it is geometrically realizable by a para-Hermitian…”
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7
Projectively Osserman manifolds
Published in Publicationes mathematicae (Debrecen) (01-04-2008)Get full text
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8
Stanilov-Tsankov-Videv Theory
Published in Symmetry, integrability and geometry, methods and applications (01-01-2007)“…We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of…”
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9
Homogeneity of Lorentzian three-manifolds with recurrent curvature: Homogeneity of Lorentzian manifolds with recurrent curvature
Published in Mathematische Nachrichten (01-01-2014)Get full text
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10
Series with Hermite polynomials and applications
Published in Publicationes mathematicae (Debrecen) (01-04-2012)Get full text
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11
Chaos in a Hamiltonian description of interacting quantum spins
Published in Chaos, solitons and fractals (03-01-2001)“…Regular and irregular dynamics of interacting spins are investigated using the Hamiltonian dynamical system, which completely captures the quantum dynamics…”
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12
Affine projective Osserman structures
Published 28-04-2013“…By considering the projectivized spectrum of the Jacobi operator, we introduce the concept of projective Osserman manifold in both the affine and in the…”
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13
4-dimensional (para)-K\"ahler--Weyl structures
Published 25-10-2012“…We give an elementary proof of the fact that any 4-dimensional para-Hermitian manifold admits a unique para-Kaehler--Weyl structure. We then use analytic…”
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14
Kaehler and para-Kaehler curvature Weyl manifolds
Published 22-11-2010“…We show that the Weyl structure of an almost-Hermitian Weyl manifold of dimension at least 6 is trivial if the associated curvature operator satisfies the…”
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Geometrical representations of equiaffine curvature operators
Published 02-02-2008“…We examine geometric representability results for various classes of equiaffine curvature operators. We show every Ricci flat algebraic curvature operator is…”
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16
Geometric realizations, curvature decompositions, and Weyl manifolds
Published 26-02-2010“…J.Geom.Phys.61:270-275,2011 We show any Weyl curvature model can be geometrically realized by a Weyl manifold…”
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17
Generalized plane wave manifolds
Published 12-05-2005“…We show that generalized plane wave manifolds are complete, strongly geodesically convex, Osserman, Szabo, and Ivanov-Petrova. We show their holonomy groups…”
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18
Complete k-curvature homogeneous pseudo-Riemannian manifolds 0-modeled on an indecomposible symmetric space
Published 04-04-2005“…For k at least 2, we exhibit complete k-curvature homogeneous neutral signature pseudo-Riemannian manifolds which are not locally affine homogeneous (and hence…”
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Curvature structure of self-dual 4-manifolds
Published 20-08-2008“…We show the existence of a modified Cliff(1,1) structure compatible with an Osserman 0-model of signature (2,2). We then apply this algebraic result to certain…”
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