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pro vyhledávání: '"Stavrov, Iva"'
Autor:
Stavrov, Iva
Publikováno v:
view abstract or download file of text.
Thesis (Ph. D.)--University of Oregon, 2003.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 236-241). Also available for download via the World Wide Web; free to University of Oregon users.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 236-241). Also available for download via the World Wide Web; free to University of Oregon users.
Externí odkaz:
http://wwwlib.umi.com/cr/uoregon/fullcit?p3095275
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 classes of pseudo-Riemannian manifolds of signature (2,2). We obtain a new characterizatio
Externí odkaz:
http://arxiv.org/abs/0808.2799
We use reduced homogeneous coordinates to study Riemannian geometry of the octonionic (or Cayley) projective plane. Our method extends to the para-octonionic (or split octonionic) projective plane, the octonionic projective plane of indefinite signat
Externí odkaz:
http://arxiv.org/abs/math/0702631
Autor:
Stavrov, Iva
Locally isotropic pseudo-Riemannian manifolds are known to be locally symmetric; this result is due to Wolf. In the Riemannian setting one proof, due to Szab\'o, uses spectral properties of the so-called Szab\'o operator. In this paper we extend Szab
Externí odkaz:
http://arxiv.org/abs/math/0409189
Autor:
Stavrov, Iva
A pseudo-Riemannian manifold is said to be spacelike Jordan IP if the Jordan normal form of the skew-symmetric curvature operator depends upon the point of the manifold, but not upon the particular spacelike 2-plane in the tangent bundle at that poin
Externí odkaz:
http://arxiv.org/abs/math/0407284
We show that if $\nabla R$ is a Jordan Szabo algebraic covariant derivative curvature tensor on a vector space of signature (p,q), where q is odd and p is less than q or if q is congruent to 2 mod 4 and if p is less than q-1, then $\nabla R=0$. This
Externí odkaz:
http://arxiv.org/abs/math/0211089
Autor:
Gilkey, Peter, Stavrov, Iva
We show that any $k$ Osserman Lorentzian algebraic curvature tensor has constant sectional curvature and give an elementary proof that any local 2 point homogeneous Lorentzian manifold has constant sectional curvature. We also show that a Szab\'o Lor
Externí odkaz:
http://arxiv.org/abs/math/0205074
Publikováno v:
In Differential Geometry and its Applications 2009 27(4):464-481