Infinite Dimensional Maximal Torus Revisited

Mohamed Lemine H. Bouleryah, Akram Ali and Piscoran Laurian-Ioan ()
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Mohamed Lemine H. Bouleryah: Department of Mathematics, College of Sciences, King Khalid University, Abha 62521, Saudi Arabia
Akram Ali: Department of Mathematics, College of Sciences, King Khalid University, Abha 62521, Saudi Arabia
Piscoran Laurian-Ioan: North University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, Victoriei 76, 430122 Baia Mare, Romania

Mathematics, 2024, vol. 12, issue 23, 1-8

Abstract: Let T m be the maximal torus of a set of m × m unitary diagonal matrices. Let T be a collection of all maps that rigidly rotate every circle of latitude of the sphere with a fixed angle. T is also a maximal torus, and we shall prove in this paper that T is the topological limit inf of T m .

Keywords: measure-preserving transformations; symplectic geometry; moment map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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