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On homogeneous square Einstein metrics

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We prove that a homogeneous square Einstein Finsler metric is either Riemannian or flat.

Abstract

We prove that a homogeneous square Einstein Finsler metric is either Riemannian or flat.

참고문헌 (10)

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  3. S. Deng, "Homogeneous Finsler Spaces" (2012), Springer
  4. S. Deng, "Weakly symmetric Finsler spaces", Commun. Contemp. Math, 12(2), pp.309~323 (2010)
  5. S. Deng, "There are no proper Berwald-Einstein manifolds", Publ. Math.-Debrecen, 86(1-2), pp.245~249 (2015)
  6. S. Ishihara, "Groups of projective transformations and groups of conformal transforma-tions", J. Math. Soc. Japan, 9, pp.195~227 (1957)
  7. Z. Shen, "On Einstein square metrics" (2012)
  8. J. A. Wolf, "Sur la classification des vari´et´es riemanniennes homog`enes `a courbure con-stante", C. R. Math. Sci. Paris, 250, pp.3443~3445 (1960)
  9. J. A. Wolf, "Spaces of constant curvature", Surveys and Monographs of Amer. Math. Soc., ~ (2011)
  10. L. Zhou, "A local classification of a class of (α, β)-metrics with constant flag curvature", Differential Geom. Appl, 28(2), pp.170~193 (2010)

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