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A method for the resolution of the Jacobi equation Y″ + RY = 0 on the manifold Sp(2)/SU(2)

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Abstract.

In this paper a method for the resolution of the differential equation of the Jacobi vector fields in the manifold V 1 = Sp(2)/SU(2) is exposed. These results are applied to determine areas and volumes of geodesic spheres and balls.

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Authors and Affiliations

  1. Universidad de Valencia, Burjassot, Spain

    A. M. Naveira

  2. Universidad de A Coruña, A Coruña, Spain

    A. Tarrío

Authors
  1. A. M. Naveira
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  2. A. Tarrío
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Additional information

Work partially supported by DGI (Spain) and FEDER Projects MTM 2004-06015-C02-01 and MTM 2007-65852 (first author) and by Research Project PGIDIT05PXIB16601PR (second author).

Authors’ addresses: A. M. Naveira, Departamento de Geometría y Topología. Facultad de Matemáticas, Avda. Andrés Estellés, N1, 46100 – Burjassot, Valencia, Spain; A. D. Tarrío Tobar, E. U. Arquitectura Técnica, Campus A Zapateira. Universidad de A Coruña, 15192 – A Coruña, Spain

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Naveira, A., Tarrío, A. A method for the resolution of the Jacobi equation Y″ + RY = 0 on the manifold Sp(2)/SU(2). Monatsh Math 154, 231–246 (2008). https://doi.org/10.1007/s00605-008-0551-3

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  • DOI: https://doi.org/10.1007/s00605-008-0551-3

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