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Some remarks on the (f, g)-linear connections

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Abstract

In this note we consider structures defined on a differentiable manifoldM by a tensor fieldf of type (1,1) satisfying the conditionf 4+f 2=0 and by a Riemannian structureg such thatg(f(X),Y)=−g(Xf(Y)) for all vector fieldsX,YεT 1 0(M). Then we determine linear connections compatible with those structures.

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Authors
  1. N. A. Soare
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Additional information

Facultatea de Matematica, Str. Academiei 14, 70109 Bucaresti, Romania. Published in Lietuvos Matematikos Rinkinys, Vol. 37, No. 3, pp. 383–387, July–September, 1997.

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Soare, N.A. Some remarks on the (f, g)-linear connections. Lith Math J 37, 287–290 (1997). https://doi.org/10.1007/BF02465361

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  • DOI: https://doi.org/10.1007/BF02465361

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