Artículo
Optimal inequalities, contact delta-invariants and their applications
Autor/es | Chen, Bang-Yen
Martín Molina, Verónica |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2013 |
Fecha de depósito | 2020-07-30 |
Publicado en |
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Resumen | Associated with a k-tuple (n1, . . . , nk) ∈ S(2n + 1) with n ≥ 1, we define a contact δ-invariant, δc (n1, . . . , nk), on an almost contact metric (2n + 1)-manifold M. For an arbitrary isometric immersion of M into a ... Associated with a k-tuple (n1, . . . , nk) ∈ S(2n + 1) with n ≥ 1, we define a contact δ-invariant, δc (n1, . . . , nk), on an almost contact metric (2n + 1)-manifold M. For an arbitrary isometric immersion of M into a Riemannian manifold, we establish an optimal inequality involving δc (n1, . . . , nk) and the squared mean curvature of the immersion. Furthermore, we investigate isometric immersions of contact metric and K-contact manifolds into Riemannian space forms which verify the equality case of the inequality for some k-tuple. |
Agencias financiadoras | Junta de Andalucía Ministerio de Educación. España |
Identificador del proyecto | FQM-327 |
Cita | Chen, B. y Martín Molina, V. (2013). Optimal inequalities, contact delta-invariants and their applications. Bulletin of the Malaysian Mathematical Sciences Society, 26 (2), 263-276. |
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