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https://research.matf.bg.ac.rs/handle/123456789/1561| Title: | The orthogonality principle for Osserman manifolds | Authors: | Andrejić, Vladica Lukić, Katarina |
Affiliations: | Geometry Geometry |
Keywords: | Jacobi operator;Jacobiduality;Osserman manifold;Osserman tensor;primary 53B20;secondary 53C25 | Issue Date: | 1-Jun-2024 | Rank: | M23 | Publisher: | Springer | Journal: | Acta Mathematica Hungarica | Abstract: | We introduce a new potential characterization of Osserman algebraic curvature tensors. An algebraic curvature tensor is Jacobi-orthogonal if JXY⊥JYX holds for all X⊥Y,where J denotes the Jacobi operator.We prove that any Jacobi-orthogonal tensor is Osserman, while all known Osserman tensors are Jacobi-orthogonal. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1561 | ISSN: | 02365294 | DOI: | 10.1007/s10474-024-01434-x |
| Appears in Collections: | Research outputs |
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