Publication

Symmetric Spaces Rolling on Flat Spaces


Symmetric Spaces Rolling on Flat Spaces

V. Jurdjevic, I. Markina, F. Silva Leite

The Journal of Geometric Analysis2023

Abstract

AbstractThe objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language accessible to a wider audience, in particular to readers with interest in applications. Secondly, we concentrate on rolling an important class of Riemannian manifolds. In the first part of the paper, the relation between intrinsic and extrinsic rollings is explained in detail, while in the second part we address rollings of symmetric spaces on flat spaces and complement the theoretical results with illustrative examples.

Cite this publication

@article{vjurdjevic2023symmetric,
  author = {V. Jurdjevic and I. Markina and F. Silva Leite},
  title = {Symmetric Spaces Rolling on Flat Spaces},
  journal = {The Journal of Geometric Analysis},
  year = {2023},
  doi = {10.1007/s12220-022-01179-5}
}

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