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An intrinsic approach to Lichnerowicz conjecture

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Abstract

In this paper we give a proof of Lichnerowicz conjecture for compact simply connected manifolds which is intrinsic in the sense that it avoids thenice embeddings into eigenspaces of the Laplacian. Even if one wants to use these embeddings, this paper gives a more streamlined proof. As a byproduct, we get a simple criterion for a polynomial to be a Jacobi polynomial.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 400 076, Mumbai, India

    Akhil Ranjan

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  1. Akhil Ranjan
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Correspondence to Akhil Ranjan.

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Ranjan, A. An intrinsic approach to Lichnerowicz conjecture. Proc Math Sci 110, 27–34 (2000). https://doi.org/10.1007/BF02829478

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  • DOI: https://doi.org/10.1007/BF02829478

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