ISSN:
1588-2829
Keywords:
Primary 53B40
;
Finsler spaces
;
hypersurfaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The notions of semi C-reducible and S4-like Finsler spaces have been introduced by Matsumoto and Shibata ([6]). The object of the present paper is to study some properties of the hypersurfaces immersed in semi-C-reducible and S4-like Finsler spaces. It has been proved that a hypersurface of semi-C-reducible Finsler space is a semi-C-reducible while the condition, under with a hypersurface of S4-like Finsler space will be a S-4like space, has been obtained. The condition under which a hypersurface of semi-C-reducible Landsberg space will be a Landsberg space has also been obtained. After using the so called “T-condition” (Matsumoto [5]) we have discussed the condition under which a hypersurface of a semi-C-reducible Finsler spaceF n satisfying T-condition will also satisfy T-condition.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02023585
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