Levy Laplacian on Manifold and Yang—Mills Heat Flow
- Авторы: Volkov B.1,2
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Учреждения:
- Bauman Moscow State Technical University
- Steklov Mathematical Institute of Russian Academy of Sciences
- Выпуск: Том 40, № 10 (2019)
- Страницы: 1619-1630
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205842
- DOI: https://doi.org/10.1134/S1995080219100305
- ID: 205842
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Аннотация
A covariant definition of the Levy Laplacian on an infinite dimensional manifold is introduced. It is shown that a time-depended connection in a finite dimensional vector bundle is a solution of the Yang—Mills heat equations if and only if the associated flow of the parallel transports is a solution of the heat equation for the covariant Levy Laplacian on the infinite dimensional manifold.
Об авторах
B. Volkov
Bauman Moscow State Technical University; Steklov Mathematical Institute of Russian Academy of Sciences
Автор, ответственный за переписку.
Email: borisvolkov1986@gmail.com
Россия, Moscow, 105005; Moscow, 119991