Prolongations of isometric actions to vector bundles | Zendy

Hülya Kadıoğlu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Prolongations of isometric actions to vector bundles

Author(s) -

Hülya Kadıoğlu

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1908-15

Subject(s) - mathematics , isometry (riemannian geometry) , vector bundle , isometry group , principal bundle , space (punctuation) , pure mathematics , bundle , metric (unit) , manifold (fluid mechanics) , metric space , fiber bundle , orbit (dynamics) , combinatorics , computer science , materials science , composite material , operating system , mechanical engineering , operations management , aerospace engineering , engineering , economics

In this paper, we define an isometry on a total space of a vector bundle E by using a given isometry on the base manifold M. For this definition, we assume that the total space of the bundle is equipped with a special metric which has been introduced in one of our previous papers. We prove that the set of these derived isometries on E form an imbedded Lie subgroup Ge of the isometry group I E . Using this new subgroup, we construct two different principal bundle structures based one on E and the other on the orbit space E/Ge. Key words: Fiber bundles, isometry group, vector bundles, principal bundles

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research