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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 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 ...
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 ...
Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
(Mathematical Sciences Publishers, 2001-12)
In this paper we determine and classify all compact Riemannian flat manifolds with holonomy group isomorphic to Z2 ⊕ Z2 and first Betti number zero. Also we give explicit realizations of all of them.
A Berger-type theorem for metric connections with skew-symmetric torsion
(Elsevier Science, 2012-12)
We prove a Berger-type theorem which asserts that if the orthogonal subgroup generated by the torsion tensor (pulled back to a point by parallel transport) of a metric connection with skew-symmetric torsion is not transitive ...
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, ...
Codimension three nonnegatively curved submanifolds with infinite fundamental group
(SpringerNew YorkEUA, 2011)