منابع مشابه
Eta Invariant and Conformal Cobordism
In this note we study the problem of conformally flat structures bounding conformally flat structures and show that the eta invariants give obstructions. These lead us to the definition of an Abelian group, the conformal cobordism group, which classifies the conformally flat structures according to whether they bound conformally flat structures in a conformally invariant way. The eta invariant ...
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The unit ball B is shown to be Gromov hyperbolic with respect to the Ferrand metric λBn and the modulus metric μBn , and dimension dependent upper bounds for the Gromov delta are obtained. In the two-dimensional case Gromov hyperbolicity is proved for all simply connected domains G. For λG also the case G = R n \ {0} is studied.
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We discuss in this paper the conformal geometry of bi-invariant metrics on compact semisimple Lie groups. For this purpose we develop a conformal Cartan calculus adapted to this problem. In particular, we derive an explicit formula for the holonomy algebra of the normal conformal Cartan connection of a bi-invariant metric. As an example, we apply this calculus to the group SO(4). Its conformal ...
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This paper is an expository paper about our joint work, which the first author presented in a series of lectures at the University of Auckland (New Zealand), the University of Melbourne (Australia), and the Australian National University in Canberra (Australia). We express appreciation for the kindness and interest of all the many wonderful mathematicians and their families whom that author and...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2002
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(02)00314-0