Transversality of complex linear distributions with spheres, contact forms and Morse type foliations

DOI10.1016/j.geomphys.2010.05.003zbMath1206.53029OpenAlexW2084978847MaRDI QIDQ988893

Yoshikazu Yamagishi, Toshikazu Ito, Bruno C. Azevedo Scárdua

Publication date: 19 August 2010

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.05.003

zbMATH Keywords

contact formintegrable distributionMorse singularityfoliation, holomorphic

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (1)

Degeneracy locus of critical points of the distance function on a holomorphic foliation

Cites Work

• Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes
• On the classification of non-integrable complex distributions
• Topology of a holomorphic vector field around an isolated singularity
• A Poincaré-Hopf-type theorem for holomorphic one-forms
• Einstein hypersurfaces in a Kählerian manifold of constant holomorphic curvature
• A NON-EXISTENCE THEOREM FOR MORSE TYPE HOLOMORPHIC FOLIATIONS OF CODIMENSION ONE TRANSVERSE TO SPHERES
• Singular Points of Complex Hypersurfaces. (AM-61)
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