ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
From MaRDI portal
Publication:4873874
DOI10.1093/qmath/46.3.299zbMath0848.53023OpenAlexW2047029039WikidataQ123018729 ScholiaQ123018729MaRDI QIDQ4873874
Peter B. Gilkey, Andrew F. Swann, Lieven Vanhecke
Publication date: 4 November 1996
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/46.3.299
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)
Related Items (39)
The proportionality principle for Osserman manifolds ⋮ Osserman pseudo-Riemannian manifolds of signature (2,2) ⋮ On a problem of Osserman in Lorentzian geometry ⋮ Homogeneity and curvatures of geodesic spheres ⋮ Geodesic spheres and two-point homogeneous spaces ⋮ On quasi-Clifford Osserman curvature tensors ⋮ Unnamed Item ⋮ Conformally Osserman manifolds of dimension 16 and a Weyl-Schouten theorem for rank-one symmetric spaces ⋮ Curvature identities for Einstein manifolds of dimensions 5 and 6 ⋮ Conformally Osserman four-dimensional manifolds whose conformal Jacobi operators have complex eigenvalues ⋮ Unnamed Item ⋮ Two-root Riemannian manifolds ⋮ Two theorems on Osserman manifolds. ⋮ Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators ⋮ Almost isotropic Kähler manifolds ⋮ Curvature properties of \(\varphi\)-null Osserman Lorentzian \(\mathcal S\)-manifolds ⋮ Four-dimensional pointwise Osserman manifolds ⋮ Generalized Osserman manifolds ⋮ On the duality principle in pseudo-Riemannian Osserman manifolds ⋮ An example of rank two symmetric Osserman space ⋮ Complex Osserman Kähler manifolds in dimension four ⋮ Equivalence between the Osserman condition and the Rakić duality principle in dimension 4 ⋮ Tangent sphere bundles with constant trace of the Jacobi operator ⋮ Paraquaternionic Kähler manifolds ⋮ Osserman conjecture in dimension \(n \not= 8, 16\) ⋮ Algebraic curvature tensors which are \(p\)-Osserman ⋮ Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds ⋮ The Jordan normal form of Osserman algebraic curvature tensors ⋮ Almost Hermitian manifolds and Osserman condition ⋮ Unit Tangent Sphere Bundles with Constant Scalar Curvature ⋮ Foliation of a dynamically homogeneous neutral manifold ⋮ Affine Osserman connections and their Riemann extensions ⋮ Negatively curved homogeneous Osserman spaces ⋮ Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial ⋮ The geometry of k-harmonic manifolds ⋮ CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS ⋮ Carnot spaces and the k-stein condition ⋮ Four-dimensional indefinite Kähler Osserman manifolds ⋮ On 2-Stein submanifolds in space forms
This page was built for publication: ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR