ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F09%3APU83839" target="_blank" >RIV/00216305:26210/09:PU83839 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

Original language description

We discuss almost complex projective geometry and the relations to a distinguished class of curves. We present the geometry from the viewpoint of the theory of parabolic geometries and we shall specify the classical genera- lizations of the concept of the planarity of curves to this case. In particular, we show that the natural class of J-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving of this class turns out to be the necessary and sufficient condition on diffeomorphisms to become homomorphisms or antihomomorphisms of almost complex projective geometries.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ARCHIVUM MATHEMATICUM

ISSN

0044-8753

e-ISSN

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Volume of the periodical

2009

Issue of the periodical within the volume

45

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

10

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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