Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16654| Title: | Script geometry |
| Author: | Cerejeiras, P. Kahler, U. Sommen, F. Vajiac, A. |
| Keywords: | Script Simplicial topology Discrete exterior derivative Hodge–Dirac operator Discrete Laplacian Cohomology |
| Issue Date: | 23-Nov-2016 |
| Publisher: | Springer International Publishing |
| Abstract: | In this paper we describe the foundation of a new kind of discrete geometry and calculus called Script Geometry. It allows to work with more general meshes than classic simplicial complexes. We provide the basic definitions as well as several examples, like the Klein bottle and the projective plane. Furthermore, we also introduce the corresponding Dirac and Laplace operators which should lay the groundwork for the development of the corresponding discrete function theory. |
| URI: | http://hdl.handle.net/10773/16654 |
| DOI: | 10.1007/978-3-319-42529-0_5 |
| ISBN: | 978-3-319-42528-3 |
| Appears in Collections: | CIDMA - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 05_Cerejeiras-Vajiac.pdf | Documento principal | 253.24 kB | Adobe PDF |  |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.