Publication result detail

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

HINTERLEITNER, I.; MIKEŠ, J.; STEPANOVA, E.

Original Title

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

English Title

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

Type

Chapter in a book

Original Abstract

Many authors have studied Riemannian manifolds admitting a geodesic mapping. Fundamental results of the theory of geodesic mapping were settled by Sinyukov. In the present paper we analyze the Sinykov equations of the geodesic mappings of Riemannian manifolds by using the curvature operator of the second kind. This approach to the study of geodesic mapping is essentially new.

English abstract

Many authors have studied Riemannian manifolds admitting a geodesic mapping. Fundamental results of the theory of geodesic mapping were settled by Sinyukov. In the present paper we analyze the Sinykov equations of the geodesic mappings of Riemannian manifolds by using the curvature operator of the second kind. This approach to the study of geodesic mapping is essentially new.

Keywords

Fundamental equation, geodesic mapping, Riemannian manifold

Key words in English

Fundamental equation, geodesic mapping, Riemannian manifold

Authors

HINTERLEITNER, I.; MIKEŠ, J.; STEPANOVA, E.

Released

01.01.2014

Publisher

Springer Berlin Heidelberg

Location

Mulhouse, France

ISBN

978-3-642-55361-5

Book

Algebra, Geometry and Mathematical Physics

Pages from

489

Pages to

494

Pages count

5

BibTex

@inbook{BUT111740,
  author="Irena {Hinterleitner} and Josef {Mikeš} and Elena {Stepanova}",
  title="On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind",
  booktitle="Algebra, Geometry and Mathematical Physics",
  year="2014",
  publisher="Springer Berlin Heidelberg",
  address="Mulhouse, France",
  edition="85",
  pages="489--494",
  doi="10.1007/978-3-642-55361-5\{_}28",
  isbn="978-3-642-55361-5"
}