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The index of symmetry of compact naturally reductive spaces
(2014)
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way, the index of symmetry of compact naturally ...
The distribution of symmetry of a naturally reductive nilpotent Lie group
(Springer, 2019-06)
We show that the distribution of symmetry of a naturally reductive nilpotent Lie group coincides with the invariant distribution induced by the set of fixed vectors of the isotropy. This extends a known result on compact ...
The index of symmetry of compact naturally reductive spaces
(Springer, 2014-08)
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a Riemannian manifold from being a symmetric space. We compute, in a geometric way, the index of symmetry of compact naturally ...
The index of symmetry of three-dimensional Lie groups with a left-invariant metric
(De Gruyter, 2018-10)
We determine the index of symmetry of 3-dimensional unimodular Lie groups with a left-invariant metric. In particular, we prove that every 3-dimensional unimodular Lie group admits a left-invariant metric with positive ...
Index of symmetry and topological classification of asymmetric normed spaces.
(Rocky MT Math Consortiumariz State Univ, Dept Math, 2020)
Let X, Y be asymmetric normed spaces and Lc(X, Y ) the
convex cone of all linear continuous operators from X to Y . It is known
that in general, Lc(X, Y ) is not a vector space. The aim of this note is to
give, using ...
The sigma-isotypic decomposition and the sigma-index of reversible-equivariant systems
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
This work is concerned with dynamical systems in presence of symmetries and reversing symmetries. We describe a construction process of subspaces that are invariant by linear Gamma-reversible-equivariant mappings, where ...
On the real matrix representation of pt-symmetric operators
(Czech Technical University, 2014-05)
We discuss the construction of real matrix representations of PT-symmetric operators. We show the limitation of a general recipe presented some time ago for non-Hermitian Hamiltonians with antiunitary symmetry and propose ...
DYNAMICAL SYMMETRY BREAKING IN A MINIMAL 3-3-1 MODEL
(World Scientific Publ Co Pte Ltd, 2012-10-20)
The gauge symmetry breaking in some versions of 3-3-1 models can be implemented dynamically because at the scale of a few TeVs the U(1)(X) coupling constant becomes strong. In this work, we consider the dynamical symmetry ...
DYNAMICAL SYMMETRY BREAKING IN A MINIMAL 3-3-1 MODEL
(World Scientific Publ Co Pte Ltd, 2012-10-20)
The gauge symmetry breaking in some versions of 3-3-1 models can be implemented dynamically because at the scale of a few TeVs the U(1)(X) coupling constant becomes strong. In this work, we consider the dynamical symmetry ...
Global Well-posedness And Symmetries For Dissipative Active Scalar Equations With Positive-order Couplings
(UNIV AUTONOMA BARCELONABELLATERRA, 2016)