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math.DGJun 5, 2019
7
citations (OpenAlex)
authors
  • Mancho Manev
  • Veselina Tavkova
institutions
  • Medical University Plovdiv
  • Plovdiv University
arXiv abstractPDF
paper

Lie groups as 3-dimensional almost paracontact almost paracomplex Riemannian manifolds

arXiv:1906.01914 · doi:10.1007/s00022-019-0499-6

Abstract

Almost paracontact almost paracomplex Riemannian manifolds of the lowest dimension 3 are considered. Such structures are constructed on a family of Lie groups and the obtained manifolds are studied. Curvature properties of these manifolds are investigated. An example is commented as support of obtained results.

arXiv comment13 pages

References in corpus (7)

  • Hyperkähler torsion structures invariant by nilpotent Lie groups
  • Lie groups as 3-dimensional almost contact B-metric manifolds
  • On the structure tensors of almost contact B-metric manifolds
  • Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure
  • Canonical connection on a class of Riemannian almost product manifolds
  • Anti-Kählerian geometry on Lie groups
  • Hypercomplex structures with Hermitian-Norden metrics on four-dimensional Lie algebras

Cited by in corpus (3)

  • Para-Ricci-like Solitons on Almost Paracontact Almost Paracomplex Riemannian Manifolds
  • Hyperspheres in Euclidean and Minkowski 4-spaces as almost paracontact almost paracomplex Riemannian manifolds
  • Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure
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