Two Families of Affine Osserman Connections on 3-Dimensional Manifolds

A. S. Diallo; M. Hassirou

doi:adjm/1375293544

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Home > Journals > Afr. Diaspora J. Math. (N.S.) > Volume 14 > Issue 2 > Article

2012 Two Families of Affine Osserman Connections on 3-Dimensional Manifolds

A. S. Diallo, M. Hassirou

Afr. Diaspora J. Math. (N.S.) 14(2): 178-186 (2012).

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Abstract

The aim of this note is to study the Osserman condition on two families affine connections. As applications, examples of affine Osserman connections which are Ricci flat but not flat are given.

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A. S. Diallo. M. Hassirou. "Two Families of Affine Osserman Connections on 3-Dimensional Manifolds." Afr. Diaspora J. Math. (N.S.) 14 (2) 178 - 186, 2012.

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Published: 2012

First available in Project Euclid: 31 July 2013

zbMATH: 1278.53018

MathSciNet: MR3093242

Subjects:

Primary: 53B05 , 53B15 , 53C50

Keywords: affine connection , Jacobi operator , Osserman manifold , Riemann extension

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Afr. Diaspora J. Math. (N.S.)

Vol.14 • No. 2 • 2012

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A. S. Diallo, M. Hassirou "Two Families of Affine Osserman Connections on 3-Dimensional Manifolds," African Diaspora Journal of Mathematics. New Series, Afr. Diaspora J. Math. (N.S.) 14(2), 178-186, (2012)

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