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The space of bi-invariant orders on a nilpotent group
invariant order left-orderable group nilpotent group Group Theory
2012/4/18
We prove a few basic facts about the space of bi-invariant (or left-invariant) total order relations on a torsion-free, nonabelian, nilpotent group G. For instance, we show that the space of bi-invari...
The Metric Completion of Outer Space
The Metric Completion Outer Space the Lipschitz metric homeomorphic
2012/3/1
We prove that the completion of Outer Space with the Lipschitz metric is homeomorphic to the free splitting complex. We give a new proof of a theorem by Francaviglia and Martino [FMa] that the isometr...
Abstract: Subsurface projection has become indispensable in studying the geometry of the mapping class group and the curve complex of a surface. When the subsurface is an annulus, this projection is s...
A Spanning Set for the Space of Super Cusp Forms
Automorphic and cusp forms super symmetry semisimple Lie groups partially hyperbolic flows unbounded realization of a complex bounded symmetric domain
2010/1/25
The aim of this article is the construction of a spanning set for the space of super cusp forms on a complex bounded symmetric super domain of rank with respect to a lattice . The main ingredient...
Shape Operator AH for Slant Submanifolds in Generalized Complex Space Forms
Shape operator slant submanifolds generalized complex space form k-Ricci curvature
2010/2/26
In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms....