Raina Ivanova
University of Hawaii at Hilo
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Publication
Featured researches published by Raina Ivanova.
Results in Mathematics | 2001
Peter B. Gilkey; Raina Ivanova
Let V be a vector space of signature (p,q). We construct two families of algebraic curvature tensors which generate the space of algebraic curvature tensors on V. We use these families to show that there exist Jordan Osserman algebraic curvature tensors with arbitrary Jordan normal form.
Classical and Quantum Gravity | 2002
Peter B. Gilkey; Raina Ivanova; Tan Zhang
We study the higher-order Jacobi operator in pseudo-Riemannian geometry. We exhibit a family of manifolds so that this operator has constant Jordan normal form on the Grassmannian of subspaces of signature (r, s) for certain values of (r, s). These pseudo-Riemannian manifolds are new and non-trivial examples of higher-order Osserman manifolds.
arXiv: Differential Geometry | 2002
Peter B. Gilkey; Raina Ivanova
arXiv: Differential Geometry | 2002
Peter B. Gilkey; Raina Ivanova; Tan Zhang
arXiv: Differential Geometry | 2002
Peter B. Gilkey; Raina Ivanova; Iva Stavrov
arXiv: Differential Geometry | 2002
Peter B. Gilkey; Raina Ivanova; Tan Zhang
arXiv: Differential Geometry | 2002
Peter B. Gilkey; Raina Ivanova
Commentationes Mathematicae Universitatis Carolinae | 2002
Peter B. Gilkey; Raina Ivanova
Banach Center Publications | 2002
Peter B. Gilkey; Raina Ivanova
arXiv: Differential Geometry | 2003
Corey Dunn; Peter B. Gilkey; Raina Ivanova; Stana Nikcevic