GEODEZIJSKE LINIJE I HIPERPOVRŠI BLIZU KELEROVE MNOGOSTRUKOSTI S3 X S3

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GEODEZIJSKE LINIJE I HIPERPOVRŠI BLIZU KELEROVE MNOGOSTRUKOSTI S3 X S3

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Title: GEODEZIJSKE LINIJE I HIPERPOVRŠI BLIZU KELEROVE MNOGOSTRUKOSTI S3 X S3
Author: Đorić, Miloš
Abstract: In this dissertation, the classification of some important classes od hypersurfaces M of the nearly Kähler S3 × S3 is considered, along with the parametrisation of the geodesic lines of this manifold. This manifold is one of only four examples of homogeneous, 6-dimensional, nearly Kähler manifolds. In addition to the almost complex structure J, this manifold is en- dowed with an almost product structure P , which anticommutes with J. Owing to these facts, there are two families of interesting tangent vector fields on S3 × S3, called P−singular vector fields, having similar properties as A−singular vector fields on complex quadrics Q, which are already known. The notion of P−principal and P−isotropic tangent vector fields of S3 × S3 is defined, along with their basic properties. In the case of P−principal normal vector field ξ of the hypersurface M , the partial classification is given, while the immersion of the hypersurfaces M with P−isotropic normal vector field ξ is stated explicitly.
URI: http://hdl.handle.net/123456789/5324
Date: 2022

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