Legendre Curves on Generalized Paracontact Metric Manifolds


Bejan C., Eken Meric S., KILIÇ E.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.42, ss.185-199, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40840-017-0475-y
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Sayfa Sayıları: ss.185-199

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.