IJPAM: Volume 91, No. 3 (2014)

AFFINE OSSERMAN CONNECTIONS WHICH ARE
RICCI FLAT BUT NOT FLAT

Abdoul Salam Diallo$^1$, Mouhamadou Hassirou$^2$, Issoufou Katambé$^3$
$^1$Département de Mathématiques
Faculté des Sciences
Université Gamal Abdel Nasser
B.P. 11 47, Conakry, REPUBLIC OF GUINÉE
$^{2,3}$Département de Mathématiques et Informatique
Faculté des Sciences et Technique
Université Abdou Moumouni
P.O. Box 10 662, Niamey, NIGER


Abstract. The present paper deals with the existence of new class of affine Osserman connections which are Ricci flat but not flat.

Received: October 23, 2013

AMS Subject Classification: 53B05, 53B20, 53C30

Key Words and Phrases: affine manifold, Osserman connection

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DOI: 10.12732/ijpam.v91i3.3 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 91
Issue: 3