Isometric Immersions of Contact Riemannian Manifolds in Real Space Forms

• Autores: Bang-Yen Chen , Ion Mihai
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 743-764
• Idioma: inglés
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• Resumen

  • Abstract. First, we define some contact Riemannian invariants for almost contact metric manifolds analogues to those invariants introduced in [5, 6].

    We then establish sharp inequalities between these contact Riemannian invariants and the squared mean curvature for almost contact Riemannian manifolds in a real space form. We also investigate almost contact Riemannian submanifolds which verify the equality case of the inequalities.

    Examples of contact Riemannian submanifolds satisfying the equality case are provided as well.