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Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View

Author

Listed:
  • Lenka Rýparová

    (Department of Algebra and Geometry, Palacký University Olomouc, 77146 Olomouc, Czech Republic
    Institute of Mathematics and Descriptive Geometry, Brno University of Technology, 60200 Brno, Czech Republic)

  • Irena Hinterleitner

    (Institute of Mathematics and Descriptive Geometry, Brno University of Technology, 60200 Brno, Czech Republic)

  • Sergey Stepanov

    (Department of Mathematics, Financial University, 49 Lenigradsky Prospect, 125993 Moscow, Russia)

  • Irina Tsyganok

    (Department of Mathematics, Financial University, 49 Lenigradsky Prospect, 125993 Moscow, Russia)

Abstract

In the present paper, we study the geometry of infinitesimal conformal, affine, projective, and harmonic transformations of complete Riemannian manifolds using the concepts of geometric dynamics and the methods of the modern version of the Bochner technique.

Suggested Citation

  • Lenka Rýparová & Irena Hinterleitner & Sergey Stepanov & Irina Tsyganok, 2023. "Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View," Mathematics, MDPI, vol. 11(5), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1114-:d:1077780
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