Dergiler / International Electronic Journal of Geometry / 2018 / Cilt: 11 - Sayı: 1

Bundle of Frames and Sprays for Fréchet Manifolds

Sayfa
1–16
Yayın Tarihi
2022-10-18
DOI
—
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Bu Makaleye Atıf Yap

SURI, A., MOOSAEI, M. (2022). Bundle of Frames and Sprays for Fréchet Manifolds. International Electronic Journal of Geometry, Cilt: 11 - Sayı: 1, 1–16. https://ajindex.com/articles/539661

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Kaynakça (19)

  1. Aghasi, M., Bahari, A.R., Dodson, C.T.J., Galanis, G.N. and Suri, A., Second order structures for sprays and connections on Fréchet manifolds.
  2. Aghasi,Mand Suri, A., Splitting theorems for the double tangent bundles of Fréchet manifolds. Balkan J. Geom. Appl. 15 (2010), no. 2, 1-13
  3. Antonelli, P.L., Ingarden, R.S. and Matsumoto, M.S., The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology. Kluwer, Dordrecht, 1993
  4. Ashtekar, A., and Isham, C.J., Representations of the holonomy algebras of gravity and non-Abelian gauge theories. Classical Quantum Gravity, 9 (1992), 1433-1467
  5. Ashtekar, A. and Lewandowski, J., Differential geometry on the space of connections via graphs and projective limits. J. Geom. Phys., 17 (1995), 191-230
  6. Bourbaki, N., Varietés differentielles et analytiques. Fascisule de résultats 1-7, Herman, Paris, 1967
  7. Dodson, C.T.J. and Galanis, G.N., Bundles of acceleration on Banach manifolds. World Congress of Nonlinear Analysis, June 30 July 7, Orlando, 2004
  8. Dodson, C.T.J., Galanis, G.N., Vassiliou, E., A generalized second order frame bundle for Fréchet manifolds. J. Geom. Phys. 55, (2005), no. 3, 291-305
  9. Eliasson, H.I., Geometry of manifolds of maps. J. Diff. Geom. 1 (1967), pp. 169-194
  10. Galanis, G.N., Differential and Geometric Structure for the Tangent Bundle of a Projective Limit Manifold. Rendiconti del Seminario Matematico di Padova. 112 (2004), 1-12
  11. Galanis, G.N., Projective limits of Banach vector bundles. Portugaliae Mathematica 55 (1998), no. 1, 11-24
  12. Hamilton, R.S., The inverse functions theorem of Nash and Moser. Bull. Amer. Math. Soc., 7 (1982), 65-222
  13. Klingenberg, W., Riemannian geometry. de Gruyter, Berlin, 1982
  14. Lang, S., Fundumentals of differential geometry. Graduate Texts in Mathematics, vol. 191, Springer-Verlag, New York, 1999
  15. Mangiarotti, L., Sardanashvily, G., Connections in classical and quantum field theory. World Scientific, 2000
  16. Kriegl, A. and Michor, P., The convenient setting of global analysis. Mathematical Surveys and Monographs, 53 American Mathematical Society, 1997
  17. Nag, S., The complex analytic theory of the Teichmulller spaces. J. Wiley, New York, 1988
  18. Nag, S. and Sullivan, D., Teichmulller theory and the universal period mapping via quantum calculus and the H1=2 space on the circle. Osaka J. Math. 32 (1995), 1-34
  19. Muller, O., A metric approach to Fréche