Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications
Vicente Miquel, Vicente Palmer (1993)
Compositio Mathematica
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Displaying similar documents to “Non-compact cohomogeneity one Einstein manifolds”
Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications
Special directions on contact metric manifolds of negative -sectional curvature
David E. Blair (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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The third Betti number of a positively pinched riemannian six manifold
Walter Seaman (1986)
Annales de l'institut Fourier
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We prove that if the sectional curvature, , of a compact 6-manifold without boundary satisfies then its third (real) Betti number is zero.
Finiteness of and geometric inequalities in almost positive Ricci curvature
Erwann Aubry (2007)
Annales scientifiques de l'École Normale Supérieure
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Yang-Mills bar connections over compact Kähler manifolds
Hông Vân Lê (2010)
Archivum Mathematicum
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In this note we introduce a Yang-Mills bar equation on complex vector bundles provided with a Hermitian metric over compact Hermitian manifolds. According to the Koszul-Malgrange criterion any holomorphic structure on can be seen as a solution to this equation. We show the existence of a non-trivial solution to this equation over compact Kähler manifolds as well as a short time existence of a related negative Yang-Mills bar gradient flow. We also show a rigidity of holomorphic connections...
On a generalization of the Selection Theorem of Mahler
Gilbert Muraz, Jean-Louis Verger-Gaugry (2005)
Journal de Théorie des Nombres de Bordeaux
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The set of point sets of , having the property that their minimal interpoint distance is greater than a given strictly positive constant is shown to be equippable by a metric for which it is a compact topological space and such that the Hausdorff metric on the subset of the finite point sets is compatible with the restriction of this topology to . We show that its subsets of Delone sets of given constants in , are compact. Three (classes of) metrics, whose one of crystallographic...