Conformal changes of generalized paracontact pseudometric structures

Authors: FERESHTEH MALEK, NILOUFAR HOSSEINPOUR KASHANI

Abstract: We characterize generalized almost paracontact pseudometric structures after a conformal change and investigate invariant components of these structures under conformal changes. Then we characterize the conformal changes of normal generalized paracontact pseudometric structures, generalized almost para-co-K{\"a}hler structures, and generalized para-co-K{\"a}hler structures. We also give examples of a generalized almost para-co-K{\"a}hler structure and a normal generalized paracontact pseudometric structure that remains invariant under a nonhomothety conformal change.

Keywords: Conformal change, generalized almost paracontact pseudometric structure, generalized almost para-co-K{\"a}hler structure, generalized para-co-K{\"a}hler structure, normal generalized paracontact pseudometric structure

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