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Sasakian manifolds having the contact quasi-concurrent property

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Abstract

Sind in einer Sasaki-Mannigfaltigkeit zwei Vektoren einer Φ-Basis kontakt quasikonkurrent, so definieren diese Vektoren eine involutive Distribution mit einer präsymplektischen einfachen Einheitsform; die zugehörige orthogonale UntermannigfaltigkeitM ist generisch. Ist außerdem noch der mittlere Krümmungsvektor vonM kontakt parallel quasi-konkurrent, so ist die 2. Fundamentalform parellel und die mittlere Krümmung vonM konstant. Weitere Eingeschaften vonM werden in Satz 2 angegeben.

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Authors and Affiliations

  1. Institut für Mathematik der Technischen Universität, Arcisstraße 21, 8000, München 2, Deutschland

    K. Buchner

  2. Faculté des Sciences et Techniques, Sfax, Tunesien

    R. Rosca

Authors
  1. K. Buchner
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  2. R. Rosca
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Buchner, K., Rosca, R. Sasakian manifolds having the contact quasi-concurrent property. Rend. Circ. Mat. Palermo 32, 388–397 (1983). https://doi.org/10.1007/BF02848541

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  • DOI: https://doi.org/10.1007/BF02848541

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