Abstract
Previous results of one of the authors are improved by removal of the fiber-preserving hypothesis for non-affine infinitesimal projective transformations.
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References
Hasegawa, I and Yamauchi, K., Infinitesimal projective transformations on the tangent bundles with the horizontal lift connection, (to appear) .
Kobayashi, S., A theorem on the affine transformation group of a Riemannian manifold, Nagoya Math. J., 9 (1955), p. 39–41.
Kobayashi, S., Transformation Groups in Differential Geometry, Springer, 1972.
Sasaki, S., On the differential geometry of tangent bundles of Riemannian manifolds, Tôhoku Math. J., 10 (1958), p. 338–354.
Yamauchi, K., On Riemannian manifolds admitting infinitesimal projective transformations, Hokkaido Math. J., no. 16 (1987), p. 115–125.
Yamauchi, K., On infinitesimal projective transformations of the tangent bundles with the complete lift metric over Riemannian manifolds, Ann. Rep. Asahikawa Med. Coll., 19 (1998), p. 49–55.
Yamauchi, K., On infinitesimal projective transformations of tangent bundles with the metric II+III, Ann. Rep. Asahikawa Med. Coll., 20 (1999), p. 67–72.
Yamauchi, K., On infinitesimal projective transformations of tangent bundles over Riemannian manifolds, Math. Japonica, 49 (1999), p. 433–440.
Yano, K. and Ishihara, S., Tangent and Cotangent Bundles, Marcel Dekker, 1973.
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Hasegawa, I., Yamauchi, K. (2003). Infinitesimal Projective Transformations on Tangent Bundles. In: Anastasiei, M., Antonelli, P.L. (eds) Finsler and Lagrange Geometries. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0405-2_9
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DOI: https://doi.org/10.1007/978-94-017-0405-2_9
Publisher Name: Springer, Dordrecht
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