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Harmonic sections in the unitary tangent bundle

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Języki publikacji
EN
Abstrakty
EN
The problems studied in this paper are connected with the harmonicity of the canonical projection TT : TM - M, as well as, with the harmonicity of the vector fields x(M) thought of as maps from M to TM. We have considered on TM a new Riemannian metric G.
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Rocznik
Strony
681--692
Opis fizyczny
Bibliogr. 19 poz.
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autor
  • Faculty of Mathematics University "AI.I.Cuza" of Iasi Bd. Copou no 11 6600 Iasi, Romania
Bibliografia
  • [1] R. Caddeo, A. Sanini, Metriche armoniche indotte da campi vettoriali, Rend. Sem. Fac. Sci. Univ. Cagliari 57 (2), (1987), 123-130.
  • [2] B. Y. Chen, T. Nagano, Harmonic metrics, harmonic tensor and Gauss maps, J. Math. Soc. Japan 36 (2) (1984), 295-313.
  • [3] J. Eells, L. Lemaire, Selected topics in harmonic maps, Conf. Board of the Math. Sci. A.M.S. 50 (1983), 85 pp.
  • [4] J. Eells, A. Ratto, Harmonic maps and minimal immersions with symmetries. Method of ordinary differential equations applied to eliptic variational problems, Ann. Math. Studies 130, Princeton University Press, 1993.
  • [5] E. García-Río, L. Vanhecke, M. E. Vázquez-Abal, Harmonic endomorphism fields, Illinois J. Math. 41 (1997), 23-30.
  • [6] S. Ishihara, Harmonic sections of tangent bundles, J. Math. Tokushima Univ. 13, 1979, 23-27.
  • [7] B. O'Neill, The fundamental equations of a submersions, Michigan Math. J. 13 (1966), 459-469.
  • [8] C. Oniciuc, On the harmonic sections of tangent bundles, An. Univ. Bucuresti Mat. 1 (1998), 67-72.
  • [9] C. Oniciuc, The tangent bundles and harmonicity, An. St. Univ. "Al. I. Cuza" Iasi 1 (1997), 151-172.
  • [10] C. Oniciuc, Nonlinear connections on tangent bundle and harmonicity, Italian J. Pure Appi. Math. N.6 (1999), 109-122.
  • [11] C. Oniciuc, Pseudo-Riemannian metrics on tangent bundle and harmonic problems, Bull. Belgian Math. Soc. Simon Stevin (to be published).
  • [12] V. Oproiu, On the harmonic sections of cotangent bundles, Rend. Sem. Fac. Sci., Univ. Cagliari 59 (2) (1989), 177-184.
  • [13] V. Oproiu, N. Papaghiuc, A Kaehler structure on the nonzero tangent bundle of a space form, Differential Geom. Appi. 11 (1999), 1-12.
  • [14] V. Oproiu, A locally symmetric Kaehler Einstein structure on the tangent bundle of a space form, Contrib. to Algebra Geom. 40 No. 2 (1999), 363-372.
  • [15] V. Oproiu, A Kaehler Einstein structure on the tangent bundle of a space form, preprint.
  • [16] V. Oproiu, Some new geometric structures on the tangent bundles, to be published in Public. Math. Debrecen.
  • [17] M. P. Più, Campi di vettori ed applicazione armoniche, Rend. Sem. Fac. Sci. Univ. Cagliari 52 (1), (1982), 85-94.
  • [18] K. Yano, Integral formulas in Riemannian Geometry, M. Dekker, New-York, 1970.
  • [19] K. Yano, S. Ishihara, Tangent and Cotangent Bundle, M. Dekker, New-York, 1973.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0040-0011
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