University of Oregon

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19922026

most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2002 · math.DGShow all

5 papers · 2 filters

math.DG2002★ 4 cited

Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2

Peter Gilkey, Tan Zhang

Let R be an algebraic curvature tensor for a non-degenerate inner product of signature(p,q) where q>4. If $π$ is a spacelike 2 plane, let $R (π)$ be the associated skew-symmetric cu…

math.DG2002

Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectors

Peter Gilkey, Iva Stavrov

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 mani…

math.DG2002★ 12 cited

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…

math.DG2002

The eta invariant and the real connective K-theory of the classifying space for quaternion groups

E. Barrera-Yanez, P. Gilkey

We express the real connective $K$ theory groups of the quaternion QL group of order $2^{j} \geq 8$ in terms of the representation theory of by showing $ko_{4k-1}(BQL)=KSp(S^{4k+3}/τQL)…

math.DG2002

The Weyl functional near the Yamabe invariant

Kazuo Akutagawa, Boris Botvinnik, Osamu Kobayashi +1

For a compact manifold $M$ of $dim M = n \geq 4$ , we study two conformal invariants of a conformal class $C$ on $M$ . These are the Yamabe constant $Y_{C} (M)$ and the $L^{\frac{n}{2}}$ …