Displaying similar documents to “A Foliated Metric Rigidity Theorem for Higher Rank Irreducible Symmetric Spaces.”

A unified approach to compact symmetric spaces of rank one

Adam Korányi, Fulvio Ricci (2010)

Colloquium Mathematicae

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A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.

Co-rank and Betti number of a group

Irina Gelbukh (2015)

Czechoslovak Mathematical Journal

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For a finitely generated group, we study the relations between its rank, the maximal rank of its free quotient, called co-rank (inner rank, cut number), and the maximal rank of its free abelian quotient, called the Betti number. We show that any combination of the group's rank, co-rank, and Betti number within obvious constraints is realized for some finitely presented group (for Betti number equal to rank, the group can be chosen torsion-free). In addition, we show that the Betti number...

Trace and determinant in Banach algebras

Bernard Aupetit, H. Mouton (1996)

Studia Mathematica

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We show that the trace and the determinant on a semisimple Banach algebra can be defined in a purely spectral and analytic way and then we obtain many consequences from these new definitions.

On rank one symmetric space

Inkang Kim (2004-2005)

Séminaire de théorie spectrale et géométrie

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In this paper we survey some recent results on rank one symmetric space.