(Para-) Kähler Structures on \(\rho \)-Commutative Algebras

  • Zahra Bagheri
  • Esmaeil PeyghanEmail author


Recently, geometrics objects such as \(\rho \)-forms, metrics, Levi–Civita connection, differential calculus were introduced on \(\rho \)-commutative algebras. In this paper, we intend to extend another geometric objects such as almost complex structure, almost para-complex structure, Hermitian metric, para-Hermitian metric, Kähler and para-Kähler forms, on it and introduce new concepts which we will call Kähler \(\rho \)-commutative algebras and para-Kähler \(\rho \)-commutative algebras.


Almost product structure Kähler structure Para-Kähler structure \(\rho \)-commutative algebra 

Mathematics Subject Classification

53B15 53C05 17B75 53D05 


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceArak UniversityArakIran

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