On some generalisation of recurrent manifolds.
Ewert-Krzemieniewski, Stanisław (1993)
Mathematica Pannonica
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
Yoshihiro Ohnita (1987)
Compositio Mathematica
A. Joseph (1985)
Annales scientifiques de l'École Normale Supérieure
Gilles Carron, Emmanuel Pedon (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We give a lower bound for the bottom of the differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
Dirk Mittenhuber, Karl-Herrmann Neeb (1995)
Mathematische Zeitschrift
Jens Heber (1993)
Inventiones mathematicae
Peter Breitenlohner, Dieter Maison (1987)
Annales de l'I.H.P. Physique théorique
H. Thorleifsson (1992)
Mathematica Scandinavica
J. McCleary (1987)
Inventiones mathematicae
Piotr Graczyk, Patrice Sawyer (2013)
Colloquium Mathematicae
We study the absolute continuity of the convolution of two orbital measures on the symmetric space SO₀(p,q)/SO(p)×SO(q), q > p. We prove sharp conditions on X,Y ∈ for the existence of the density of the convolution measure. This measure intervenes in the product formula for the spherical functions. We show that the sharp criterion developed for SO₀(p,q)/SO(p)×SO(q) also serves for the spaces SU(p,q)/S(U(p)×U(q)) and Sp(p,q)/Sp(p)×Sp(q), q > p. We moreover apply our results to the study of...
Mauro Meschiari (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Takashi Sakai (1978)
Mathematische Annalen
Weiyong He (2014)
Complex Manifolds
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment map of the...
Enrico Leuzinger (1992)
Commentarii mathematici Helvetici
Salvai, Marcos (2003)
Journal of Lie Theory
Keith Burns, Ralf Spatzier (1987)
Publications Mathématiques de l'IHÉS
Filip Defever, Mileva Prvanivic΄ (1994)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
A. A. Shaikh, Sanjib Kumar Jana (2006)
Annales Polonici Mathematici
We introduce a type of non-flat Riemannian manifolds called weakly cyclic Ricci symmetric manifolds and study their geometric properties. The existence of such manifolds is shown by several non-trivial examples.
Saverio Giulini, Stefano Meda (1990)
Journal für die reine und angewandte Mathematik