Search Results - "Nikčević, Stana"

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  1. 1

    Homogeneity of Lorentzian three-manifolds with recurrent curvature by García-Río, Eduardo, Gilkey, Peter B., Nikčević, Stana

    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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    Journal Article
  2. 2

    Geometric realizations, curvature decompositions, and Weyl manifolds by Gilkey, Peter, Nikčević, Stana, Simon, Udo

    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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  3. 3

    Curvature Properties of Weyl Geometries by Gilkey, Peter, Nikčević, Stana, Simon, Udo

    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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  4. 4

    Geometric Theory of Equiaffine Curvature Tensors by Gilkey, Peter, Nikčević, Stana, Simon, Udo

    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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  5. 5

    Geometrical Representations of Equiaffine Curvature Operators by Gilkey, Peter B., Nikčević, Stana Ž.

    Published in Resultate der Mathematik (01-09-2008)
    “… We examine geometric representability results for various classes of equiaffine curvature operators…”
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  6. 6

    Geometric Realizations of Para-Hermitian Curvature Models by Brozos-Vázquez, Miguel, Gilkey, Peter, Nikčević, Stana, Vázquez-Lorenzo, Ramón

    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. 7
  8. 8

    Stanilov-Tsankov-Videv Theory by Brozos-Vázquez, Miguel, Fiedler, Bernd, García-Río, Eduardo, Gilkey, Peter, Nikcevic, Stana, Stanilov, Grozio, Tsankov, Yulian, Vázquez-Lorenzo, Ramón, Videv, Veselin

    “…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. 9
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  11. 11

    Chaos in a Hamiltonian description of interacting quantum spins by Milenković, Olja, Nikčević, Stana, Burić, Nikola

    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. 12

    Affine projective Osserman structures by Gilkey, Peter, Nikcevic, Stana

    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. 13

    4-dimensional (para)-K\"ahler--Weyl structures by Gilkey, Peter, Nikcevic, Stana

    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. 14

    Kaehler and para-Kaehler curvature Weyl manifolds by Gilkey, Peter, Nikcevic, Stana

    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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  15. 15

    Geometrical representations of equiaffine curvature operators by Gilkey, Peter B, Nikcevic, Stana

    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. 16

    Geometric realizations, curvature decompositions, and Weyl manifolds by Gilkey, Peter, Nikcevic, Stana, Simon, Udo

    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. 17

    Generalized plane wave manifolds by Gilkey, Peter, Nikcevic, Stana

    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. 18

    Complete k-curvature homogeneous pseudo-Riemannian manifolds 0-modeled on an indecomposible symmetric space by Gilkey, Peter, Nikcevic, Stana

    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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  19. 19

    Curvature structure of self-dual 4-manifolds by Blazic, Novica, Gilkey, Peter, Nikcevic, Stana, Stavrov, Iva

    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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