Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras

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ÖZDEMİR N., SOLGUN M., AKTAY Ş.

SYMMETRY-BASEL, vol.8, no.8, 2016 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 8 Issue: 8
  • Publication Date: 2016
  • Doi Number: 10.3390/sym8080076
  • Journal Name: SYMMETRY-BASEL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: 5-dimensional nilpotent Lie algebra, almost contact metric structure, left invariant almost contact metric structure, CLASSIFICATION
  • Open Archive Collection: AVESIS Open Access Collection
  • Anadolu University Affiliated: Yes

Abstract

We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.