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- Centre National de la Recherche ScientifiqueFR105 papers
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4 papers · 2 filters
Complete minimal submanifolds with nullity in Euclidean space
M. Dajczer, Th. Kasioumis, A. Savas-Halilaj +1
In this paper, we investigate minimal submanifolds in Euclidean space with positive index of relative nullity. Let be a complete Riemannian manifold and let $f\colon M^m\to\R…
On growth of systole along congruence coverings of Hilbert modular varieties
Plinio G. P. Murillo
We study how the systole of principal congruence coverings of a Hilbert modular variety grows when the degree of the covering goes to infinity. We prove that given a Hilbert modula…
On non-Kähler degrees of complex manifolds
Daniele Angella, Adriano Tomassini, Misha Verbitsky
We study cohomological properties of complex manifolds. In particular, under suitable metric conditions, we extend to higher dimensions a result by A. Teleman, which provides an up…
Algebraic dimension of complex nilmanifolds
Anna Fino, Gueo Grantcharov, Misha Verbitsky
Let M be a complex nilmanifold, that is, a compact quotient of a nilpotent Lie group endowed with an invariant complex structure by a discrete lattice. A holomorphic differential o…