Alex, Jerome (2019)
The periodic Steiner problem.
Technische Universität
Ph.D. Thesis, Primary publication
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| Item Type: | Ph.D. Thesis | ||||
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| 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 | ||||
| Date of oral examination: | 4 December 2018 | ||||
| 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. |
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| URN: | urn:nbn:de:tuda-tuprints-85384 | ||||
| Classification DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
| Divisions: | 04 Department of Mathematics 04 Department of Mathematics > Applied Geometry |
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| Date Deposited: | 12 Mar 2019 08:10 | ||||
| Last Modified: | 12 Mar 2019 08:10 | ||||
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/8538 | ||||
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