Publication result detail

Composition of conformal and geodesic mappings

HINTERLEITNER, I.

Original Title

Composition of conformal and geodesic mappings

English Title

Composition of conformal and geodesic mappings

Type

Paper in proceedings (conference paper)

Original Abstract

In the present article we proved some relations of conformal and geodesic mappings of (pseudo-) Riemannian spaces. It is known that mappings which at the same time are conformal and geodesic, are homothetic. We proved that if a composition of conformal and geodesic mapping is ``commutative'' then this mapping is only conformal or geodesic.

English abstract

In the present article we proved some relations of conformal and geodesic mappings of (pseudo-) Riemannian spaces. It is known that mappings which at the same time are conformal and geodesic, are homothetic. We proved that if a composition of conformal and geodesic mapping is ``commutative'' then this mapping is only conformal or geodesic.

Keywords

conformal mapping, geodesic mapping, composition of mappings, (pseudo-) Riemannian manifold

Key words in English

conformal mapping, geodesic mapping, composition of mappings, (pseudo-) Riemannian manifold

Authors

HINTERLEITNER, I.

RIV year

2018

Released

15.06.2017

Publisher

Univerzita obrany

Location

Brno

ISBN

978-80-7231-417-1

Book

Matematika, informační technologie a aplikované vědy

Pages from

1

Pages to

7

Pages count

7

URL

BibTex

@inproceedings{BUT137502,
  author="Irena {Hinterleitner}",
  title="Composition of conformal and geodesic mappings",
  booktitle="Matematika, informační technologie a aplikované vědy",
  year="2017",
  number="1",
  pages="1--7",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7231-417-1",
  url="http://mitav.unob.cz"
}