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Normal Holonomy of CR-submanifolds
(Osaka University. Departments of Mathematics, 2017-01)
We study the normal holonomy group, i.e. the holonomy group of the normal connection, of a CR-submanifold of a complex space form. We show that the normal holonomy group of a coisotropic submanifold acts as the holonomy ...
Mok's characteristic varieties and the normal holonomy group
(Academic Press Inc Elsevier Science, 2017-02)
In this paper we complete the study of the normal holonomy groups of complex submanifolds (non nec. complete) of Cn or CPn. We show that irreducible but non-transitive normal holonomies are exactly the Hermitian s-representations ...
Normal holonomy of orbits and Veronese submanifolds
(2015)
It was conjectured, twenty years ago, the following result that would generalize the so-called rank rigidity theorem for homogeneous Euclidean submanifolds: let Mn, n ≥ 2, be a full and irreducible homogeneous submanifold ...
Normal holonomy of orbits and Veronese submanifolds
(Math Soc Japan, 2015-06)
It was conjectured, twenty years ago, the following result that would generalize the so-called rank rigidity theorem for homogeneous Euclidean submanifolds: let Mn, n≥2, be a full and irreducible homogeneous submanifold ...
Grupos de Bieberbach y holonomía de solvariedades planas
(2018-12-17)
Una solvariedad es una variedad compacta de la forma L/G donde G es un grupo de Lie soluble simplemente conexo y L es un retículo de G. En este trabajo estudiamos solvariedades equipadas con una métrica riemanniana plana, ...
Geometric and topological aspects of quasi-free states on self-dual algebras
(Universidad de los AndesDoctorado en Ciencias - FísicaFacultad de CienciasDepartamento de Física, 2022-01-28)
We focus on physical and mathematical results about equilibrium states of gapped and gapless Hamiltonians of lattice fermion and lattice spin systems. We use the algebraic formulation of quantum mechanics to describe and ...