Legendre Curves on Generalized Paracontact Metric Manifolds

Bejan, Cornelia-Livia; Eken Meric, Semsi; KILIÇ, EROL

doi:10.1007/s40840-017-0475-y

Legendre Curves on Generalized Paracontact Metric Manifolds

Atıf İçin Kopyala

Bejan C., Eken Meric S., KILIÇ E.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.42, sa.1, ss.185-199, 2019 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 42 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.1007/s40840-017-0475-y
Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.185-199
İnönü Üniversitesi Adresli: Evet

Özet

Two different notions of almost paracontact structures (which are compatible or anti-compatible with the metric), well known in the literature, are unified and generalized here. Several formulas of paraholomorphic maps are established, and a result of Lichnerowicz type is obtained. The connection transformations which have the same system of paracontact-planar Legendre curves are characterized. Conformal changes of metrics which preserve geodesics (resp. paracontact-planar Legendre curves) are studied.