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Riemannian Lie Subalgebroid

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  • Mahamane Saminou ALI
  • Mouhamadou HASSIROU

Abstract

This paper talks about Riemannian Lie subalgebroid. We investigate the induced Levi-civita connection on Riemannian Lie subalgebroid, and give a construction of the second fondamental form like in case of Riemannian submanifold. We also give the Gauss formula in the case of Riemannian Lie subalgebroid. In the case of the Lie subalgebroid induced by a Leaf of a characteristic foliation, we obtain that the leaf carries more curvature than the manifold as shown by Boucetta (2011).

Suggested Citation

  • Mahamane Saminou ALI & Mouhamadou HASSIROU, 2018. "Riemannian Lie Subalgebroid," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(6), pages 80-90, December.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:6:p:80
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    More about this item

    Keywords

    Lie algebroid; Riemannian submanifold;

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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