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<p>The injectivity radius of an arbitrary prolate ellipsoid of revolution in three-dimensional Euclidean space is found.It is exactly equal to the distance along the double meridian between its conjugate points symmetric with respect to the pole and is smaller than one half of the length of the equator.A method for arbitrarily accurate computer calculations of the injectivity radius of an&#xa0;arbitrary prolate ellipsoid of revolution is developed and applied.</p>

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Injectivity Radius of the Prolate Ellipsoid of Revolution

  • 期刊论文

  • 发表日期：

    2025年11月24日

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  • V. N. Berestovskii,
  • A. Mustafa

摘要

The injectivity radius of an arbitrary prolate ellipsoid of revolution in three-dimensional Euclidean space is found.It is exactly equal to the distance along the double meridian between its conjugate points symmetric with respect to the pole and is smaller than one half of the length of the equator.A method for arbitrarily accurate computer calculations of the injectivity radius of an arbitrary prolate ellipsoid of revolution is developed and applied.