Infinitesimal rotary transformation | Zendy

Lenka Rýparová | Zendy; Josef Mikeš | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Infinitesimal rotary transformation

Author(s) -

Lenka Rýparová,

Josef Mikeš

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1904153r

Subject(s) - infinitesimal , mathematics , infinitesimal transformation , geodesic , transformation (genetics) , isoperimetric inequality , riemannian geometry , space (punctuation) , rotation (mathematics) , mathematical analysis , pure mathematics , geometry , computer science , biochemistry , chemistry , gene , operating system

The paper is devoted to further study of a certain type of infinitesimal transformations of twodimensional (pseudo-) Riemannian spaces, which are called rotary. Aninfinitesimal transformation is called rotary if it maps any geodesic on (pseudo-) Riemannian space onto an isoperimetric extremal of rotation in their principal parts on (pseudo-) Riemannian space. We study basic equations of the infinitesimal rotary transformations in detail and obtain the simpler fundamental equations of these transformations.

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