Reconstruction of an affine connection in generalized Fermi coordinates

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73579190" target="_blank" >RIV/61989592:15310/17:73579190 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216305:26110/17:PU118538

Výsledek na webu

<a href="http://link.springer.com/article/10.1007/s40840-016-0316-4" target="_blank" >http://link.springer.com/article/10.1007/s40840-016-0316-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40840-016-0316-4" target="_blank" >10.1007/s40840-016-0316-4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Reconstruction of an affine connection in generalized Fermi coordinates

Popis výsledku v původním jazyce

On a manifold with affine connection, we introduce special pre-semigeodesic charts which generalize Fermi coordinates. We use a version of the Peano’s–Picard’s-Cauchy-like Theorem on the initial values problem for systems of ODSs. In a fixed pre-semigeodesic chart of a manifold with a symmetric affine connection, we reconstruct, or construct, the connection in some neighborhood from the knowledge of the “initial values”, namely the restriction of the components of connection to a fixed surface S and from some of the components of the curvature tensor R in the full coordinate domain. In Riemannian space, analogous methods are used to retrieve (or construct) the metric tensor of a pseudo-Riemannian manifold in a domain of semigeodesic coordinates from the known restriction of the metric to some non-isotropic hypersurface and some of the components of the curvature tensor of type (0, 4) in the ambient space.

Název v anglickém jazyce

Reconstruction of an affine connection in generalized Fermi coordinates

Popis výsledku anglicky

On a manifold with affine connection, we introduce special pre-semigeodesic charts which generalize Fermi coordinates. We use a version of the Peano’s–Picard’s-Cauchy-like Theorem on the initial values problem for systems of ODSs. In a fixed pre-semigeodesic chart of a manifold with a symmetric affine connection, we reconstruct, or construct, the connection in some neighborhood from the knowledge of the “initial values”, namely the restriction of the components of connection to a fixed surface S and from some of the components of the curvature tensor R in the full coordinate domain. In Riemannian space, analogous methods are used to retrieve (or construct) the metric tensor of a pseudo-Riemannian manifold in a domain of semigeodesic coordinates from the known restriction of the metric to some non-isotropic hypersurface and some of the components of the curvature tensor of type (0, 4) in the ambient space.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannova, pseudo-Riemannova a afinní diferenciální geometrie</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Bulletin of the Malaysian Mathematical Sciences Society

ISSN

0126-6705

e-ISSN

—

Svazek periodika

40

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

"205–213."

Kód UT WoS článku

000392066900011

EID výsledku v databázi Scopus

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