Maximal toral action on asphericai manifolds ΓࢨG∕K and G∕H
نویسندگان
چکیده
منابع مشابه
Toral Actions on 4-manifolds and Their Classifications
P. Orlik and F. Raymond showed, in [OR, I], the following: Suppose that M is a ^-dimensional closed simply-connected manifold with an effective T1-action. Then M is an equivariant connected sum of CP2, CP2, S2x S2 and S4. In [OR, II], they studied some non-simply-connected manifolds with an effective T2-action and proved that, if the manifolds have neither fixed points nor circle subgroups as s...
متن کاملGrowth hormone (GH)-releasing peptide-6 requires endogenous hypothalamic GH-releasing hormone for maximal GH stimulation.
GH-releasing peptide-6 (GHRP-6) is a potent GH secretagogue that releases GH by uncertain mechanisms. To assess whether GHRH is required for GH release by GHRP-6 in humans, we used the specific antagonist to GHRH (N-Ac-Tyr1,D-Arg2)GHRH(1-29)NH2 (GHRH Ant). We have previously shown that GHRH-Ant (400 microg/kg) blocked the GH response to 0.33 and 3.3 microg/kg boluses of GHRH by 95% and 81%, res...
متن کاملACTION OF SEMISIMPLE ISOMERY GROUPS ON SOME RIEMANNIAN MANIFOLDS OF NONPOSITIVE CURVATURE
A manifold with a smooth action of a Lie group G is called G-manifold. In this paper we consider a complete Riemannian manifold M with the action of a closed and connected Lie subgroup G of the isometries. The dimension of the orbit space is called the cohomogeneity of the action. Manifolds having actions of cohomogeneity zero are called homogeneous. A classic theorem about Riemannian manifolds...
متن کاملLinearisation of conservative toral homeomorphisms and toral flows
We prove an analogue of Poincaré’s classification of circle homeomorphisms for conservative homeomorphisms of the two-torus with unique rotation vector and a certain bounded mean motion property. In particular, this provides an equivalent characterisation of the semi-conjugacy class of an irrational rotation within the space of conservative toral homeomorphisms. For minimal toral homeomorphisms...
متن کاملGeometrical methods for non-negative ICA: Manifolds, Lie groups and toral subalgebras
We explore the use of geometrical methods to tackle the non-negative independent component analysis (non-negative ICA) problem, without assuming the reader has an existing background in differential geometry. We concentrate on methods that achieve this by minimizing a cost function over the space of orthogonal matrices. We introduce the idea of the manifold and Lie group SO(n) of special orthog...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1988
ISSN: 0025-5645
DOI: 10.2969/jmsj/04040629