Journal article
Equiangular lines and subspaces in Euclidean spaces
- Abstract:
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A family of lines through the origin in a Euclidean space is called equiangular if any pair of lines defines the same angle. The problem of estimating the maximum cardinality of such a family in Rn was studied extensively for the last 70 years. Motivated by a question of Lemmens and Seidel from 1973, we prove that for every fixed angle θ and n sufficiently large, there are at most 2n − 2 lines in Rn with common angle θ. Moreover, this is achievable only for θ = arccos 1 3 . We also study anal...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
+ European Research Council
More from this funder
Funding agency for:
Keevash, P
Grant:
Consolidator Grant 647678
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Electronic Notes in Discrete Mathematics Journal website
- Volume:
- 61
- Pages:
- 85-91
- Publication date:
- 2017-08-03
- DOI:
- ISSN:
-
1571-0653
Item Description
- Keywords:
- Pubs id:
-
pubs:720849
- UUID:
-
uuid:69dff059-26d1-49e7-8773-699b73d88f13
- Local pid:
- pubs:720849
- Source identifiers:
-
720849
- Deposit date:
- 2018-04-04
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2017
- Notes:
- Copyright © 2017 Elsevier B.V.
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