IJPAM: Volume 88, No. 3 (2013)

ON THE CURVATURE FORMS OF NIL SPACE

Zühal Küçükarslan Yüzbaşı$^{1,2}$, Mehmet Bektaş$^2$, Münevver Yildirim Yilmaz$^2$
$^{1}$Department of Mathematics
Brock University
St. Catharines, Ontario, L2S 3A1, CANADA
$^{2}$Department of Mathematics
Faculty of Science
Firat University
23119, Elazig, TURKEY


Abstract. In this work, we study structure equations in $Nil$ space. Also, the submanifold of $Nil$ space is given and sectional, Ricci curvatures in this submanifold are obtained by using $Nil$ metric.

Received: July 22, 2013

AMS Subject Classification: 53C25, 53C40

Key Words and Phrases: Nil space, structure equations, submanifold, totally geodesic, sectional and Ricci curvatures

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DOI: 10.12732/ijpam.v88i3.10 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: 2013
Volume: 88
Issue: 3