SOME CHARACTERIZATIONS OF (M)over-bar-GEODESIC SPRAY AND (M)over-bar-INTEGRAL CURVE IN DUAL SPACE

Akbaba Y., ÇALIŞKAN M., ALTINKAYA A.

JOURNAL OF SCIENCE AND ARTS, sa.1, ss.85-90, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2020
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.85-90
  • Anahtar Kelimeler: (M)over-bar- vector field, (M)over-bar- integral curve, (M)over-bar- geodesic spray, dual space
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, firstly, (M) over bar- vector field Z on M, (M) over bar- integral curve of Z and (M) over bar- geodesic spray concepts are given. Along this study, (M) over bar is a Riemann manifold and M is a hypersurface of (M) over bar in dual space. Secondly, "The natural lift of the curve a is an (M) over bar- integral curve of (M) over bar- geodesic spray Z if and only if a is an (M) over bar- geodesic on M" is proved in dual space.