Puffini-Videv Models and Manifolds

P. Gilkey; E. Puffini; V. Videv

Puffini-Videv Models and Manifolds

微分几何 2007-05-23 v1

作者: P. Gilkey , E. Puffini , V. Videv

摘要

Let $J(\pi)$ be the higher order Jacobi operator. We study algebraic curvature tensors where $J(\pi)J(\pi^{\perp})=J(\pi^{\perp})J(\pi)$ . In the Riemannian setting, we give a complete characterization of such tensors; in the pseudo-Riemannian setting, partial results are available. We present non-trivial geometric examples of Riemannian manifolds with this property.

关键词

jacobi forms jacobian conjecture ricci curvature and riemannian geometry

引用

@article{arxiv.math/0605464,
  title  = {Puffini-Videv Models and Manifolds},
  author = {P. Gilkey and E. Puffini and V. Videv},
  journal= {arXiv preprint arXiv:math/0605464},
  year   = {2007}
}

备注

6 pages

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