Minimal Slant Submanifolds of the smallest dimension in -manifolds

  • Alfonso Carriazo

    Universidad de Sevilla, Spain
  • Luis M. Fernández

    Universidad de Sevilla, Spain
  • María Belén Hans-Uber

    Universidad de Sevilla, Spain

Abstract

We study slant submanifolds of -manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in -manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.

Cite this article

Alfonso Carriazo, Luis M. Fernández, María Belén Hans-Uber, Minimal Slant Submanifolds of the smallest dimension in -manifolds. Rev. Mat. Iberoam. 21 (2005), no. 1, pp. 47–66

DOI 10.4171/RMI/414