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A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds

Yıl 2017, Cilt: 10 Sayı: 1, 39 - 47, 30.04.2017
https://doi.org/10.36890/iejg.584440

Öz

Kaynakça

  • [1] Agache, N. S. and Chafle, M. R., A semi-symmetric non-metric connection on a Riemannian manifold. Indian J. Pure Appl. Math., 23(1992), no. 6, 399-409.
  • [2] Bejancu, A., Curvature in sub-Riemannian geometry, J. Math. Phys., 53, 023513, (2012), DOI :10.1063/1.3684957
  • [3] De, U. C. and Biswas, S. C., On a type of semi-symmetric non-metric connection on a Riemannian manifold. Istanbul Univ. Mat. Derg., 55/56(1996/1997), 237-243.
  • [4] De, U. C. and Kamilya, D., On a type of semi-symmetric non-metric connection on a Riemannian manifold. J. Indian Inst. Sci., 75(1995), 707-710.
  • [5] Folland, G. B., Weyl manifolds. J. Diff. Geom., 4(1970), 145-153.
  • [6] Han, Y. L., Fu, F. Y. and Zhao, P. B., On semi-symmetric metric connection in sub-Riemannian manifold. Tamkang Journal of Mathematics, 47(2016), no. 4, 373-384.
  • [7] Lyra, G., Über eine modifikation der riemannschen Geometrie. Math. Z., 54(1951), 52-64.
  • [8] Montgomery, R., Abnormal minimizers. SIAM J. Control Optim., 32(1994), no. 6, 1605-1620.
  • [9] Montgomery, R., A Tour of Subriemannian geometries, Their Geodesics and Applications. Math. Surv. and Monographs, 91, AMS, 2002. [10] Sen, D. K. and Vanstone, J. R., On Weyl and Lyra manifolds. J. Math. Phys., 13(1972), 990-993.
  • [11] Tripathi, M. M. and Kakar, N., On a semi-symmetric non-metric connection in a Kenmotsu manifold. Bull. Cal. Math. Soc., 16(2001), no. 4, 323-330.
  • [12] Weyl, H., Gravitation und Elektrizltdt, S.-B. Preuss. Akad. Wiss. Berlin, p. 465. Translated in The principle of relativity, Dover Books, New York, 1918.
  • [13] Yano, K., On semi-symmetric metric connection. Rev. Roum. Math. Pureset Appl., 15(1970), 1579-1586.
  • [14] Zhao, P. B. and Jiao, L., Conformal transformations on Carnot Caratheodory spaces. Nihonkal Mathematical Journal, 17(2006), no. 2, 167-185.
Yıl 2017, Cilt: 10 Sayı: 1, 39 - 47, 30.04.2017
https://doi.org/10.36890/iejg.584440

Öz

Kaynakça

  • [1] Agache, N. S. and Chafle, M. R., A semi-symmetric non-metric connection on a Riemannian manifold. Indian J. Pure Appl. Math., 23(1992), no. 6, 399-409.
  • [2] Bejancu, A., Curvature in sub-Riemannian geometry, J. Math. Phys., 53, 023513, (2012), DOI :10.1063/1.3684957
  • [3] De, U. C. and Biswas, S. C., On a type of semi-symmetric non-metric connection on a Riemannian manifold. Istanbul Univ. Mat. Derg., 55/56(1996/1997), 237-243.
  • [4] De, U. C. and Kamilya, D., On a type of semi-symmetric non-metric connection on a Riemannian manifold. J. Indian Inst. Sci., 75(1995), 707-710.
  • [5] Folland, G. B., Weyl manifolds. J. Diff. Geom., 4(1970), 145-153.
  • [6] Han, Y. L., Fu, F. Y. and Zhao, P. B., On semi-symmetric metric connection in sub-Riemannian manifold. Tamkang Journal of Mathematics, 47(2016), no. 4, 373-384.
  • [7] Lyra, G., Über eine modifikation der riemannschen Geometrie. Math. Z., 54(1951), 52-64.
  • [8] Montgomery, R., Abnormal minimizers. SIAM J. Control Optim., 32(1994), no. 6, 1605-1620.
  • [9] Montgomery, R., A Tour of Subriemannian geometries, Their Geodesics and Applications. Math. Surv. and Monographs, 91, AMS, 2002. [10] Sen, D. K. and Vanstone, J. R., On Weyl and Lyra manifolds. J. Math. Phys., 13(1972), 990-993.
  • [11] Tripathi, M. M. and Kakar, N., On a semi-symmetric non-metric connection in a Kenmotsu manifold. Bull. Cal. Math. Soc., 16(2001), no. 4, 323-330.
  • [12] Weyl, H., Gravitation und Elektrizltdt, S.-B. Preuss. Akad. Wiss. Berlin, p. 465. Translated in The principle of relativity, Dover Books, New York, 1918.
  • [13] Yano, K., On semi-symmetric metric connection. Rev. Roum. Math. Pureset Appl., 15(1970), 1579-1586.
  • [14] Zhao, P. B. and Jiao, L., Conformal transformations on Carnot Caratheodory spaces. Nihonkal Mathematical Journal, 17(2006), no. 2, 167-185.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Han Yanling

Peibiao Zhao Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 10 Sayı: 1

Kaynak Göster

APA Yanling, H., & Zhao, P. (2017). A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds. International Electronic Journal of Geometry, 10(1), 39-47. https://doi.org/10.36890/iejg.584440
AMA Yanling H, Zhao P. A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds. Int. Electron. J. Geom. Nisan 2017;10(1):39-47. doi:10.36890/iejg.584440
Chicago Yanling, Han, ve Peibiao Zhao. “A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds”. International Electronic Journal of Geometry 10, sy. 1 (Nisan 2017): 39-47. https://doi.org/10.36890/iejg.584440.
EndNote Yanling H, Zhao P (01 Nisan 2017) A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds. International Electronic Journal of Geometry 10 1 39–47.
IEEE H. Yanling ve P. Zhao, “A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds”, Int. Electron. J. Geom., c. 10, sy. 1, ss. 39–47, 2017, doi: 10.36890/iejg.584440.
ISNAD Yanling, Han - Zhao, Peibiao. “A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds”. International Electronic Journal of Geometry 10/1 (Nisan 2017), 39-47. https://doi.org/10.36890/iejg.584440.
JAMA Yanling H, Zhao P. A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds. Int. Electron. J. Geom. 2017;10:39–47.
MLA Yanling, Han ve Peibiao Zhao. “A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds”. International Electronic Journal of Geometry, c. 10, sy. 1, 2017, ss. 39-47, doi:10.36890/iejg.584440.
Vancouver Yanling H, Zhao P. A Class of Nearly Sub-Weyl and Sub-Lyra Manifolds. Int. Electron. J. Geom. 2017;10(1):39-47.