Induced Connections and Imbedded Riemannian Spaces-Reference-Cited by-同舟云学术

Induced Connections and Imbedded Riemannian Spaces

Published:1956-06 Issue: Volume:10 Page:15-25
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Kobayashi Shoshichi

Abstract

Let P be a principal fibre bundle over M with group G and with projection π : P → M. By definition of a principal fibre bundle, G acts on P on the right. We shall denote this transformation law by ρ

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Steenrod N. , Topology of fibre bundles (1951).

2. Ehresmann C. , Les connexions infinitésimales dans un espace fibré différentiate, Colloque de Topologie, Bruxelles (1960), 29–55.

3. Kobayashi S. , Espaces à connexions affines et riemanniennes symétriques, Nagoya Math. J. 9 (1955), 25–37.

4. Kobayashi S. , Theory of connections I, Mimeographed notes (1955).

5. Chern S-S. , La géométrie des sous-variétés d’un espace euclidien à plusieurs dimensions, Enseignement Math. 40 (1955), 26–46. See also: Topics in differential geometry, Mimeographed notes, Princeton (1951).

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some remarks on the second variation formula for the area;Annals of Global Analysis and Geometry;1993-08

2. Classification of linear connections;Journal of Mathematical Analysis and Applications;1986-09

3. Isometric immersions of Riemannian Spaces in Euclidean Spaces;Journal of Soviet Mathematics;1980-10

4. Immersions with parallel second fundamental form;Mathematische Zeitschrift;1974-02

5. Bibliography;Lie Gronps, Principal Bundles, and Characteristic Classes;1972