Work

Principal bundles of embeddings and nonlinear Grassmannians

Year: 2014

Type: preprint

Abstract: We present several principal bundles of embeddings of compact manifolds (with or without boundary) whose base manifolds are nonlinear Grassmannians. We study their infinite dimensional differential manifold structure in the Fréchet category. This study is motivated by the occurrence of such objects in the geometric Lagrangian formulation of free boundary continuum mechanics and in the study of the associated infinite dimensional dual pairs structures.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1402.1512

Authors: Gay-Balmaz, Francois, Vizman, Cornelia

Institutions: Centre National de la Recherche Scientifique, École Normale Supérieure - PSL, West University of Timişoara

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Autoritatea Natională pentru Cercetare Stiintifică, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Award: G8336674263

OpenAlex ID: W2952801512

Cites: 8

Cited by: 1

Related to: 20