Natural lifting of connections to vertical bundles

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F00%3A00003555" target="_blank" >RIV/00216224:14310/00:00003555 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Natural lifting of connections to vertical bundles

Original language description

Abstract. First we study the flow prolongation of projectable vector fields with respect to a bundle functor of order (r,s,q) on the category of fibered manifolds. Usign this approach, we constructs an operator transforming connections on a fibered manifold Y into connections on an arbitrary vertical bundle over Y. Then we deduce that this operator is the only natural one of finite order and we present a condition on vertical bundles over Y under which every natural operator in question has finite order.

Czech name

—

Czech description

—

Type

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

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F99%2F0296" target="_blank" >GA201/99/0296: Differential geometry of higher order</a><br>

Continuities

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

Publication year

2000

Confidentiality

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

Name of the periodical

Rendiconti del Circolo Matematico di Palermo

ISSN

0009-725X

e-ISSN

—

Volume of the periodical

2000

Issue of the periodical within the volume

63

Country of publishing house

IT - ITALY

Number of pages

5

Pages from-to

—

UT code for WoS article

—

EID of the result in the Scopus database

—