Duality principle and special Osserman manifolds | Zendy

Vladica Andrejić | Zendy

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Duality principle and special Osserman manifolds

Author(s) -

Vladica Andrejić

Publication year - 2013

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1308197a

Subject(s) - duality (order theory) , pointwise , mathematics , riemannian manifold , pure mathematics , manifold (fluid mechanics) , dimension (graph theory) , mathematical analysis , mechanical engineering , engineering

We investigate the connection between the duality principle and the Osserman condition in a pseudo-Riemannian setting. We prove that a connected pointwise two-leaves Osserman manifold of dimension n > 5 is globally Osserman and investigate the relation between the special Osserman condition and the two-leaves Osserman one. [Projekat Ministarstva nauke Republike Srbije, br. 174012]

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