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20022011
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6 papers · 1 filter

math.DG20104 cited

Solvable Lie algebras are not that hypo

Diego Conti, Marisa Fernandez, Jose A. Santisteban

We study a type of left-invariant structure on Lie groups, or equivalently on Lie algebras. We introduce obstructions to the existence of a hypo structure, namely the 5-dimensional…

math.DG200814 cited

Compact supersymmetric solutions of the heterotic equations of motion in dimension 5

Marisa Fernandez, Stefan Ivanov, Luis Ugarte +1

We construct explicit compact supersymmetric solutions with non-zero field strength, non-flat instanton and constant dilaton to the heterotic string equations in dimension five. We…

math.DG200813 cited

Balanced Hermitian metrics from SU(2)-structures

Marisa Fernández, Adriano Tomassini, Luis Ugarte +1

We study the intrinsic geometrical structure of hypersurfaces in 6-manifolds carrying a balanced Hermitian SU(3)-structure, which we call {\em balanced} SU(2)-{\em structures}. We…

math.DG200879 cited

Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton

Marisa Fernández, Stefan Ivanov, Luis Ugarte +1

We construct new explicit compact supersymmetric valid solutions with non-zero field strength, non-flat instanton and constant dilaton to the heterotic equations of motion in dimen…

math.DG20074 cited

Contact 5-manifolds with SU(2)-structure

Luis C. de Andrés, Marisa Fernández, Anna Fino +1

We consider 5-manifolds with a contact form arising from a hypo structure, which we call \emph{hypo-contact}. We provide conditions which imply that there exists such a structure o…

math.DG2003

On non-formal simply connected manifolds

M. Fernández, V. Muñoz

We construct examples of non-formal simply connected and compact oriented manifolds of any dimension bigger or equal to 7.