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Signatures of surface bundles and Milnor Wood inequalities
Signatures of surface bundles Milnor Wood inequalities Geometric Topology
2012/6/14
Let E be a surface bundle over a surface. We use a variant of the Milnor Wood inequality to show that $|3\sigma(E)|\leq \chi(E)$.
Some Inequalities for Nilpotent Multipliers of Powerful $p$-Groups
Nilpotent multiplier Powerful p-group
2011/2/21
In this paper we present some inequalities for the order, the exponent,and the number of generators of the c-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups of...
Geodesic diameter of sets defined by few quadratic equations and inequalities
Geodesic diameter of sets defined quadratic equations nequalities
2010/11/29
We prove a bound for the geodesic diameter of a subset of the unit ball in Rn described by a fixed number of quadratic equations and inequalities,which is polynomial in n, whereas the known bound for ...
In this work we prove some Hardy-Poincar´e inequalities with quadratic singular potentials localized on the boundary of a smooth domain. Then, we consider conical domains with vertex on the sing...
A note on Hardy's inequalities with boundary singularities
Hardy inequality extremals p-Laplacian
2010/12/8
Let be a smooth bounded domain in RN with N 1. In this paper we study the Hardy-Poincar´e inequalities with weight function singular at the boundary of .In particular we give sufficient condit...