GEOMETRIJA GEODEZIJSKIH SFERA I CEVI

eBiblioteka

 
 

GEOMETRIJA GEODEZIJSKIH SFERA I CEVI

Show full item record

Title: GEOMETRIJA GEODEZIJSKIH SFERA I CEVI
Author: Đorić, Mirjana
Abstract: It is an interesting problem to study the geometry of Riemannian manifolds by investigating the propetries of geometric objects on them. It turns out that the features of the geometry of a family of geometric objects on a Riemannian manifold strongly influence the geometry of the ambient space. In this paper we focus on the same kind of problems considering the extrinsic and intrinsic geometry of tubes about geodesics on Kahler and Sasakian manifolds. In order to obtain our results we mainly work with Jacobi vector fields because this falls among the best ways of analysing the geometry of normal and tubular neighborhoods. In Chapter II we compute the explicit formulas for the shape operator of tubes about co-geodesics on Sasakian space forms, using the technique of Jacobi vector fields. Further, in Chapter III we characterize locally Hermitian symmetric spaces and complex space forms considering the shape operator and the Ricci operator of tubes about geodesics on Kahler manifolds. Finally, in Chapter IV we characterize Sasakian space forms and locally co-symmetric spaces by analysing the action of the shape operator and the Ricci operator on tubes about cp-geodesics on Sa
URI: http://hdl.handle.net/123456789/4091
Date: 1994

Files in this item

Files Size Format View
Geometrija_geodezijskih.PDF 1.664Mb PDF View/Open

The following license files are associated with this item:

This item appears in the following Collection(s)

Show full item record