On the geometry of CR-manifolds.
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Date
2015
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Abstract
We study two classes of CR-submanifolds in Kählerian and cosymplectic
manifolds. More precisely, we compare the geometry of CR-submanifolds of
the above two underlying smooth manifolds. We derive expressions relat-
ing the sectional curvatures, the necessary and sufficient conditions for the
integrability of distributions. Further, we study totally umbilical, totally
geodesic and foliation geometry of the CR-submanifolds of both spaces and
found many interesting results. We prove that, under some condition, there
are classes CR submanifold in cosymplectic space forms which are in the
classes extrinsic spheres. Examples are given throughout the thesis.
Description
Master of Science in Mathematics. University of KwaZulu-Natal, Durban 2015.
Keywords
Theses - Pure Mathematics.