J 2018

On the equivalence of quaternionic contact structures

MINCHEV, Ivan Minchev and Jan SLOVÁK

Basic information

Original name

On the equivalence of quaternionic contact structures

Name in Czech

O ekvivalenci kvaternionových kontaktních struktur

Authors

MINCHEV, Ivan Minchev (100 Bulgaria, belonging to the institution) and Jan SLOVÁK (203 Czech Republic, guarantor, belonging to the institution)

Edition

Annals of Global Analysis and Geometry, Springer, 2018, 0232-704X

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Belgium

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 0.535

RIV identification code

RIV/00216224:14310/18:00100745

Organization unit

Faculty of Science

UT WoS

000429998000003

Keywords (in Czech)

kvaternionicky kontaktní; problém ekvivalence; Cartanova konexe; involuce

Keywords in English

Quaternionic contact; Equivalence problem; Cartan connection; Involution

Tags

International impact, Reviewed
Změněno: 23/6/2018 10:10, prof. RNDr. Jan Slovák, DrSc.

Abstract

V originále

Following the Cartan’s original method of equivalence supported by methods of parabolic geometry, we provide a complete solution for the equivalence problem of quaternionic contact structures, that is, the problem of finding a complete system of differential invariants for two quaternionic contact manifolds to be locally diffeomorphic. This includes an explicit construction of the corresponding Cartan geometry and detailed information on all curvature components.

In Czech

S využitím původní Cartanovy metody ekvivalence a teorie parabolických geometrií předkládáme kompletní konstrukci kanonické Cartanovy konexe pro kvaternionově kontaktní struktury, včetně detailní informace o křivosti a jejích derivacích.

Links

GBP201/12/G028, research and development project
Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation

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