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Dive into the research topics where Raina Ivanova is active.

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Featured researches published by Raina Ivanova.


Results in Mathematics | 2001

The Jordan normal form of Osserman algebraic curvature tensors

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

Higher-order Jordan Osserman pseudo-Riemannian manifolds

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

Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting

Peter B. Gilkey; Raina Ivanova


arXiv: Differential Geometry | 2002

Szabo Osserman IP Pseudo-Riemannian manifolds

Peter B. Gilkey; Raina Ivanova; Tan Zhang


arXiv: Differential Geometry | 2002

Jordan Szabo algebraic covariant derivative curvature tensors

Peter B. Gilkey; Raina Ivanova; Iva Stavrov


arXiv: Differential Geometry | 2002

The spectral geometry of the Riemann curvature tensor

Peter B. Gilkey; Raina Ivanova; Tan Zhang


arXiv: Differential Geometry | 2002

The Geometry of the Skew-Symmetric Curvature Operator in the Complex Setting

Peter B. Gilkey; Raina Ivanova


Commentationes Mathematicae Universitatis Carolinae | 2002

The Jordan normal form of higher order Osserman algebraic curvature tensors

Peter B. Gilkey; Raina Ivanova


Banach Center Publications | 2002

Complex IP pseudo-Riemannian algebraic curvature tensors

Peter B. Gilkey; Raina Ivanova


arXiv: Differential Geometry | 2003

The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting

Corey Dunn; Peter B. Gilkey; Raina Ivanova; Stana Nikcevic

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Tan Zhang

Murray State University

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Corey Dunn

California State University

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Stana Nikcevic

Serbian Academy of Sciences and Arts

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