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The aim of this note is to extend the notion of commutativity of vector fields to the category of singular foliations, using Nambu structures, i.e. integrable multi-vector fields. We will show some ba...
A note on Canonical Ricci forms on 2-step nilmanifolds
note Canonical Ricci forms 2-step nilmanifolds
2012/2/29
In this note we prove that any left-invariant almost Hermitian structure on a 2-step nilmanifold is Ricci-flat with respect to the Chern connection and that it is Ricci -flat with respect to another c...
A note on compact gradient Yamabe solitons
compact gradient Yamabe soliton Yamabe flow constant scalar curvature metric
2011/9/15
Abstract: We will give a simple proof that the metric of any compact Yamabe gradient soliton (M,g) is a metric of constant scalar curvature when the dimension of the manifold n>2.
Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems
Linear programming Linear algebra Differential forms
2010/11/30
This note presents an analytic construction of the optimal unit-norm direction bx = x/||x|| that maximizes or minimizes the objective linear expression, B · bx, subject to a system of linear constrain...