Discrete curvature and the Gauss-Bonnet theorem

Arnlind, Joakim; Hoppe, Jens; Huisken, Gerhard

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

成果報告書

Discrete curvature and the Gauss-Bonnet theorem

MPS-Authors

/persons/resource/persons4309

Arnlind, Joakim
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Hoppe, Jens
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons20689

Huisken, Gerhard
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

There are no locators available

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

1001.2223
(プレプリント), 175KB

付随資料 (公開)

There is no public supplementary material available

引用

Arnlind, J., Hoppe, J., & Huisken, G. (in preparation). Discrete curvature and the Gauss-Bonnet theorem.

引用: https://hdl.handle.net/11858/00-001M-0000-0012-B7F3-C

要旨

For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, and a non-commutative Gauss--Bonnet theorem is shown to follow. We derive simple expressions for the discrete Gauss curvature in terms of matrices representing the embedding coordinates, and provide a large class of explicit examples illustrating the new notions.