S
Stana Nikcevic
Researcher at Serbian Academy of Sciences and Arts
Publications - 68
Citations - 602
Stana Nikcevic is an academic researcher from Serbian Academy of Sciences and Arts. The author has contributed to research in topics: Curvature & Scalar curvature. The author has an hindex of 13, co-authored 68 publications receiving 579 citations.
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Journal ArticleDOI
The Geometry of Walker Manifolds
Miguel Brozos-Vázquez,Eduardo García-Río,Peter B. Gilkey,Stana Nikcevic,Ramón Vázquez-Lorenzo +4 more
TL;DR: This paper discusses Walker Structures, Lorentzian Walker Manifolds, and the Spectral Geometry of the Curvature Tensor.
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Geometric realizations, curvature decompositions, and Weyl manifolds
TL;DR: In this article, it was shown that any Weyl curvature model can be geometrically realized by a Weyl manifold, and that the manifold can be used to represent the Weyl curve.
Posted Content
Homogeneity of Lorentzian three-manifolds with recurrent curvature
TL;DR: In this article, a complete description of locally homogeneous three-dimensional Walker metrics is given, showing that there exist exactly three isometry classes of such manifolds, i.e., Ricci and Cotton solitons.
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Homogeneity of Lorentzian three‐manifolds with recurrent curvature
TL;DR: In this paper, a complete description of locally homogeneous three-dimensional Walker metrics is given, showing that there exist exactly three isometry classes of such manifolds, i.e., Ricci and Cotton solitons.
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Complete k-Curvature Homogeneous Pseudo-Riemannian Manifolds
Peter B. Gilkey,Stana Nikcevic +1 more
TL;DR: For k ≥ 2, this paper showed complete k-curvature homogeneous neutral signature pseudo-Riemannian manifolds which are not locally affine homogeneous (and hence not locally homogeneous).