• An intrinsic approach to Lichnerowicz conjecture

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/110/01/0027-0034

    • Keywords

       

      Harmonic manifolds; Blaschke manifold; mean curvature; Jacobi differential equation; Ricci curvature; compact rank one symmetric spaces; nice embeddings

    • 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.

    • Author Affiliations

       

      Akhil Ranjan1

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

       
  • Proceedings – Mathematical Sciences | News

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