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Holomorfno projektivna preslikavanja generalisanih hiperboličkih Kelerovih prostora i uopštenja

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Author
Petrović, Miloš Z.
Mentor
Stanković, Mića
Committee members
Stanimirović, Predrag
Velimirović, Ljubica
Rakić, Zoran
Zlatanović, Milan
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Abstract
The thesis deals with manifolds with non-symmetric linear connection, analyzes the properties of such manifolds with respect to various mappings, but also discovers new manifolds endowed with additional structures and examines their properties. In such manner the thesis represents a continuation of investigation on manifolds with non-symmetric linear connection. Also, the thesis is a continuation of investigation in the field of the mappings of manifolds with non-symmetric linear connection, as well as infinitesimal deformations of such manifolds. Particularly, generalized hyperbolic Kahler spaces are defined as special generalized Riemannian spaces and holomorphically projective mappings between such spaces are considered. Manifolds with non-symmetric linear connection admits five linearly independent curvature tensors. By using these curvature tensors it is possible to consider geometric objects of manifolds with non-symmetric linear connection which are invariant wit...h respect to various mappings.

Faculty:
Универзитет у Нишу, Природно-математички факултет
Date:
03-10-2017
Keywords:
generalisani hiperbolički Kelerov prostor / generalized hyperbolic Kahler space / generalisani Rimanov prostor / holomorfno projektivno preslikavanje / skoro geodezaijsko preslikavanje / nesimetrična linearna koneksija / tenzor krivine / invarijantni geometrijski objekt / generalized Riemannian space / holomorphically projective mapping / almost geodesic mapping / non-symmetric linear connection / curvature tensor / invariant geometric object
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Handle
https://hdl.handle.net/21.15107/rcub_nardus_8997
URI
https://nardus.mpn.gov.rs/handle/123456789/8997
http://eteze.ni.ac.rs/application/showtheses?thesesId=5453
https://fedorani.ni.ac.rs/fedora/get/o:1420/bdef:Content/download
http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025541353

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