6533b86ffe1ef96bd12cdaf0
RESEARCH PRODUCT
Area minimizing projective planes on the projective space of dimension 3 with the Berger metric
Olga Gil-medranosubject
CollineationComplex projective space010102 general mathematicsMathematical analysisGeneral MedicineFubini–Study metric01 natural sciencesCombinatoricsReal projective line0103 physical sciencesProjective space010307 mathematical physicsProjective plane0101 mathematicsQuaternionic projective spacePencil (mathematics)Mathematicsdescription
Abstract We show that, among the projective planes embedded into the real projective space R P 3 endowed with the Berger metric, those of least area are exactly the ones obtained by projection of the equatorial spheres of S 3 . This result generalizes a classical result for the projective spaces with the standard metric.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-04-01 | Comptes Rendus Mathematique |