Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators |
| |
Authors: | E. Calviño-Louzao E. García-Río P. Gilkey R. Vázquez-Lorenzo |
| |
Affiliation: | (1) Dept. of Geometry and Topology, Faculty of Mathematics, Univ. of Santiago de Compostela, 15782 Santiago, Spain;(2) Dept. of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey |
| |
Abstract: | We exhibit Osserman metrics with non-nilpotent Jacobi operators and with non-trivial Jordan normal form in neutral signature (n, n) for any n ≥ 3. These examples admit a natural almost para-Hermitian structure and are semi para-complex Osserman with non-trivial Jordan normal form as well; they neither satisfy the third Gray identity nor are they integrable. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|