Alex, Jerome (2019)
The periodic Steiner problem.
Technische Universität Darmstadt
Ph.D. Thesis, Primary publication
Abstract
We study a problem of geometric graph theory: We determine the triply periodic graph in Euclidean 3-space which minimizes length among all graphs spanning a fundamental domain of 3-space with the same volume. This problem is related to minimizing the Willmore energy of triply periodic surfaces under a volume constraint.
| Item Type: | Ph.D. Thesis | ||||
|---|---|---|---|---|---|
| Erschienen: | 2019 | ||||
| Creators: | Alex, Jerome | ||||
| Type of entry: | Primary publication | ||||
| Title: | The periodic Steiner problem | ||||
| Language: | English | ||||
| Referees: | Große-Brauckmann, Prof. Dr. Karsten ; Sullivan, Prof. Dr. John | ||||
| Date: | 2019 | ||||
| Place of Publication: | Darmstadt | ||||
| Publisher: | Technische Universität Darmstadt | ||||
| Refereed: | 4 December 2018 | ||||
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/8538 | ||||
| Abstract: | We study a problem of geometric graph theory: We determine the triply periodic graph in Euclidean 3-space which minimizes length among all graphs spanning a fundamental domain of 3-space with the same volume. This problem is related to minimizing the Willmore energy of triply periodic surfaces under a volume constraint. |
||||
| Alternative Abstract: |
|
||||
| URN: | urn:nbn:de:tuda-tuprints-85384 | ||||
| Classification DDC: | 500 Science and mathematics > 510 Mathematics | ||||
| Divisions: | 04 Department of Mathematics 04 Department of Mathematics > Applied Geometry |
||||
| Date Deposited: | 17 Mar 2019 20:55 | ||||
| Last Modified: | 17 Mar 2019 20:55 | ||||
| PPN: | |||||
| Referees: | Große-Brauckmann, Prof. Dr. Karsten ; Sullivan, Prof. Dr. John | ||||
| Refereed / Verteidigung / mdl. Prüfung: | 4 December 2018 | ||||
| Export: | |||||
| Suche nach Titel in: | TUfind oder in Google | ||||
 |
Send an inquiry |
Options (only for editors)
 |
Show editorial Details |
Drucken
Impressum