Tensor fields of type (0,2) on linear frame bundles and cotangent bundles

Guillermo G. R. Keilhauer

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 103, page 51-64
  • ISSN: 0041-8994

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Keilhauer, Guillermo G. R.. "Tensor fields of type (0,2) on linear frame bundles and cotangent bundles." Rendiconti del Seminario Matematico della Università di Padova 103 (2000): 51-64. <http://eudml.org/doc/108528>.

@article{Keilhauer2000,
author = {Keilhauer, Guillermo G. R.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {linear frame bundle; cotangent bundle; natural -tensor field},
language = {eng},
pages = {51-64},
publisher = {Seminario Matematico of the University of Padua},
title = {Tensor fields of type (0,2) on linear frame bundles and cotangent bundles},
url = {http://eudml.org/doc/108528},
volume = {103},
year = {2000},
}

TY - JOUR
AU - Keilhauer, Guillermo G. R.
TI - Tensor fields of type (0,2) on linear frame bundles and cotangent bundles
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 103
SP - 51
EP - 64
LA - eng
KW - linear frame bundle; cotangent bundle; natural -tensor field
UR - http://eudml.org/doc/108528
ER -

References

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  1. [1] M. Del C. Calvo - G.G.R. Keilhauer, Tensor fields of type (0,2) on the tangent bundle of a Riemannian manifold, Geom. Dedicata, 71 (1998), pp. 209-219. Zbl0921.53013MR1629795
  2. [2] D. Gromoll - W. KLINGENBERG - W. MEYER, Riemannsche Geometrie im Großen, Springer, Lecture Notes in Maths, 55 (1968). Zbl0293.53001MR229177
  3. [3] I Kolář, P. Michor - J. Slovák, Natural Operations in Differential Geometry, Springer-Verlag, 1993. Zbl0782.53013MR1202431
  4. [4] O. Kowalski - M. Sekizawa, Natural transformations of Riemannian metrics on manifolds to metrics on linear frame bundles - A classification. Differential Geometry and Its Applications, Proc. Conf. August 24-30, 1986, Brno, Czechoslovakia (edited by D. Krupka and A. Švec. A), pp. 149-178. J. E. Purkynĕ University, Brno (1987). Zbl0632.53040MR923348
  5. [5] D. Krupka - J. Janyška, Lectures on Differential Invariants, Folia Fac. Sci. Nat. Univ. Purkynianae Brunensis, Brno, 1990. Zbl0752.53004MR1108622
  6. [6] M. Sekizawa, Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: a classification, Mh. Math., 105 (1988), pp. 229-243. Zbl0639.53022MR939945
  7. [7] M. Sekizawa, Natural transformactions of affine connections on manifolds to metrics on cotangent bundles, Rendi. Cir. Mat. Palermo Serie II, 14 (1987), pp. 129-142. Zbl0635.53012MR920851

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