Geometric structures invariant to symmetries

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00058001" target="_blank" >RIV/00216224:14310/12:00058001 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.5817/CZ.MUNI.M210-6010-2012" target="_blank" >http://dx.doi.org/10.5817/CZ.MUNI.M210-6010-2012</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5817/CZ.MUNI.M210-6010-2012" target="_blank" >10.5817/CZ.MUNI.M210-6010-2012</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Geometric structures invariant to symmetries

Popis výsledku v původním jazyce

The aim of this book is to generalize symmetric spaces to several geometric strctures. The first and third chapter of this work contain description of several geometric structures, for which we want to define the symmetries. This is done in the second chapter and at the end end of the third chapter. The second chapter also explains, how the classical symmetric spaces fit in our approach, and investigates geometric structures on symmetric spaces. In the fourth and fifth chapters, we investigate and construct examples of symmetric parabolic geometries in the simplest cases. In fact, we obtain classification of non-flat symmetric AHS-structures and parabolic contact structures in the case when the groups generated by the symmetries are semisimple, and weexplicitly construct many of them.

Název v anglickém jazyce

Geometric structures invariant to symmetries

Popis výsledku anglicky

The aim of this book is to generalize symmetric spaces to several geometric strctures. The first and third chapter of this work contain description of several geometric structures, for which we want to define the symmetries. This is done in the second chapter and at the end end of the third chapter. The second chapter also explains, how the classical symmetric spaces fit in our approach, and investigates geometric structures on symmetric spaces. In the fourth and fifth chapters, we investigate and construct examples of symmetric parabolic geometries in the simplest cases. In fact, we obtain classification of non-flat symmetric AHS-structures and parabolic contact structures in the case when the groups generated by the symmetries are semisimple, and weexplicitly construct many of them.

Druh

B - Odborná kniha

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GD201%2F09%2FH012" target="_blank" >GD201/09/H012: Algebraické a geometrické metody a struktury</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

ISBN

9788021060104

Počet stran knihy

91

Název nakladatele

Masaryk University

Místo vydání

Brno

Kód UT WoS knihy

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