Minimal submanifolds via complex-valued eigenfunctions
Gudmundsson, Sigmundur LU
and Munn, Thomas
LU
(2024)
In Journal of Geometric Analysis
34(6).
- Abstract
- In this work we introduce a new method for manufacturing minimal submanifolds of Riemannian manifolds of codimension two. For this we employ the so called complex-valued eigenfunctions. This is particularly interesting in the cases when the Riemannian ambient manifold is compact. We then give several explicit examples in important cases.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/98aa6e4d-1089-428f-8354-5b8406a90fdd
- author
- Gudmundsson, Sigmundur
LU
and Munn, Thomas
LU
- organization
- publishing date
- 2024
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Geometric Analysis
- volume
- 34
- issue
- 6
- article number
- 190
- pages
- 22 pages
- publisher
- Springer
- external identifiers
-
- scopus:85191056719
- ISSN
- 1559-002X
- DOI
- 10.1007/s12220-024-01642-5
- language
- English
- LU publication?
- yes
- id
- 98aa6e4d-1089-428f-8354-5b8406a90fdd
- date added to LUP
- 2024-03-31 14:57:49
- date last changed
- 2024-05-07 16:00:45
@article{98aa6e4d-1089-428f-8354-5b8406a90fdd,
abstract = {{In this work we introduce a new method for manufacturing minimal submanifolds of Riemannian manifolds of codimension two. For this we employ the so called complex-valued eigenfunctions. This is particularly interesting in the cases when the Riemannian ambient manifold is compact. We then give several explicit examples in important cases.}},
author = {{Gudmundsson, Sigmundur and Munn, Thomas}},
issn = {{1559-002X}},
language = {{eng}},
number = {{6}},
publisher = {{Springer}},
series = {{Journal of Geometric Analysis}},
title = {{Minimal submanifolds via complex-valued eigenfunctions}},
url = {{http://dx.doi.org/10.1007/s12220-024-01642-5}},
doi = {{10.1007/s12220-024-01642-5}},
volume = {{34}},
year = {{2024}},
}