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5 papers · 2 filters
Minimal real Kaehler submanifolds
S. Chion, M. Dajczer
We show that generic rank conditions on the second fundamental form of an isometric immersion of a Kaehler manifold of complex dimension $n\geq…
Dirac structures and Nijenhuis operators
Henrique Bursztyn, Thiago Drummond, Clarice Netto
We introduce a notion of compatibility between (almost) Dirac structures and (1,1)-tensor fields extending that of Poisson-Nijenhuis structures. We study several properties of the…
Complex Dirac structures: invariants and local structure
Dan Aguero, Roberto Rubio
We study complex Dirac structures, that is, Dirac structures in the complexified generalized tangent bundle. These include presymplectic foliations, transverse holomorphic structur…
Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds
Liviu Ornea, Misha Verbitsky
A compact complex manifold is called Vaisman if it admits an Hermitian metric which is conformal to a Kähler one, and a non-isometric conformal action by . It is cal…
On constant curvature submanifolds of space forms
M. Dajczer, C. -R. Onti, Th. Vlachos
We prove a converse to well-known results by E. Cartan and J. D. Moore. Let $f\colon M^n_c\to\Q^{n+p}_{\tilde c}$ be an isometric immersion of a Riemannian manifold with constant s…