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Currently displaying 1 – 6 of 6

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Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds

Kobayashi, Toshiyuki — 2003

Proceedings of the 22nd Winter School "Geometry and Physics"

Criterion for proper actions on homogeneous spaces of reductive groups.

Kobayashi, Toshiyuki — 1996

Journal of Lie Theory

Invariant mesures on homogeneous manifolds of reductive type.

Toshiyuki Kobayashi — 1997

Journal für die reine und angewandte Mathematik

Discrete decomposability of the restriction of A ... with respect to reductive subgroups and its applications.

Toshiyuki Kobayashi — 1994

Inventiones mathematicae

Proper action on a homogeneous space of reductive type.

Toshiyuki Kobayashi — 1989

Mathematische Annalen

Tempered reductive homogeneous spaces

Yves Benoist; Toshiyuki Kobayashi — 2015

Journal of the European Mathematical Society

Let $G$ be a semisimple algebraic Lie group and $H$ a reductive subgroup. We find geometrically the best even integer $p$ for which the representation of $G$ in $L^{2} (G / H)$ is almost $L^{p}$ . As an application, we give a criterion which detects whether this representation is tempered.

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