Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 7 Issue: 1

THEORY OF FINSLER SUBMANIFOLDS VIA BERWALD CONNECTION

Sayfa
—
Yayın Tarihi
2014-04-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
🔖

Bu Makaleye Atıf Yap

Bejancu, A., Farran, H. R. (2014). THEORY OF FINSLER SUBMANIFOLDS VIA BERWALD CONNECTION. International Electronic Journal of Geometry, Volume: 7 Issue: 1. https://doi.org/10.36890/iejg.594500

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (18)

  1. Akbar–Zadeh, H., Sur les sous-variétés des variétés finsleriennes, C.R. Acad. Sci. Paris, 266(1968), 146–148.
  2. Bao, D., Chern, S.S. and Shen, Z., An Introduction to Riemann-Finsler Geometry, Graduate Text in Math., 200, Springer, Berlin, 2000.
  3. Barthel, W., Über die Minimalflächen in gefaserten Finslerr¨aumen, Ann. di Mat., 36 (1954), 159–190.
  4. Bejancu, A., Special immersions of Finsler spaces, Stud. Cercet. Mat., 39 (1987), 463–487.
  5. Bejancu, A., Finsler Geometry and Applications, Ellis Horwood, New York, 1990.
  6. Bejancu, A. and Farran, H.R., On the classification of Randers manifolds of constant cur- vature, Bull. Math. Soc. Sci. Math. Roumanie, 52 (100), No. 3, 2009, 227–239.
  7. Bejancu, A. and Farran, H.R., Geometry of Pseudo-Finsler Submanifolds, Kluwer Academic Publishers, Dordrecht, 2000.
  8. Comic, I., The intrinsic curvature tensors of a subspace in a Finsler space, Tensor, N.S., 24 (1972), 19–28.
  9. Haimovici, M., Variétés totalement extrémales et variétés totalement géodésiques dans les espaces de Finsler, Ann. Sci. Univ. Jassy, 25 (1939), 559–644.
  10. Matsumoto, M., The induced and intrinsic Finsler connections of a hypersurface and Fins- lerian projective geometry, J. Math. Kyoto Univ., 25 (1985), 107–144.
  11. Matsumoto, M., Theory of Y -extremal and minimal hypersurfaces in a Finsler space, J. Math. Kyoto Univ., 26 (1986), 647–665.
  12. Matsumoto, M., Foundations of Finsler Geometry and Special Finsler Spaces, Kaiseisha Press, Saikawa, Ōtsu, 1986.
  13. Miron, R., A non-standard theory of hypersurfaces in Finsler spaces, An. St. Univ. ”Al.I. Cuza” Iasi, 30 (1974), 35–53.
  14. Rund, H., The Differential Geometry of Finsler Spaces, Grundlehr. Math. Wiss., 101, Springer, Berlin, 1959.
  15. Shen, Z., On Finsler geometry of submanifolds, Math. Ann., 311 (1998), 549–576.
  16. Tanno, S., Sasakian manifolds with constant ϕ-holomorphic sectional curvature, Tôhoku Math. J., 21 (1969), 501–507.
  17. Varga, O.,Über den inneren und induzierten Zusammenhang fu¨r Hyperflächen in Finsler- schen R¨aumen, Publ. Math. Debrecen, 8 (1961), 208–217.
  18. Wegener, J.M., Hyperfächen in Finslerschen R¨aumen als Transversalfla¨chen einer Schar von Extremalen, Monatsh. Math. Phys., 44 (1936), 115–130.