Minimal slant submanifolds of the smallest dimension in S-manifolds.

Alfonso Carriazo; Luis M. Fernández; María Belén Hans-Uber

Revista Matemática Iberoamericana (2005)

  • Volume: 21, Issue: 1, page 47-66
  • ISSN: 0213-2230

Abstract

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

How to cite

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Carriazo, Alfonso, Fernández, Luis M., and Hans-Uber, María Belén. "Minimal slant submanifolds of the smallest dimension in S-manifolds.." Revista Matemática Iberoamericana 21.1 (2005): 47-66. <http://eudml.org/doc/39738>.

@article{Carriazo2005,
abstract = {We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.},
author = {Carriazo, Alfonso, Fernández, Luis M., Hans-Uber, María Belén},
journal = {Revista Matemática Iberoamericana},
keywords = {Variedad riemanniana; Subvariedades; minimal submanifold; -structure},
language = {eng},
number = {1},
pages = {47-66},
title = {Minimal slant submanifolds of the smallest dimension in S-manifolds.},
url = {http://eudml.org/doc/39738},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Carriazo, Alfonso
AU - Fernández, Luis M.
AU - Hans-Uber, María Belén
TI - Minimal slant submanifolds of the smallest dimension in S-manifolds.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 1
SP - 47
EP - 66
AB - We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.
LA - eng
KW - Variedad riemanniana; Subvariedades; minimal submanifold; -structure
UR - http://eudml.org/doc/39738
ER -

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