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Value of first eigenvalue of some minimal hypersurfaces embedded in the unit sphere

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • بيانات النشر:
      AIMS Press
    • الموضوع:
      2023
    • Collection:
      Directory of Open Access Journals: DOAJ Articles
    • نبذة مختصرة :
      We prove that the first nonzero eigenvalue of the Laplace-Beltrami operator of equator-like minimal submanifold embedded in the sphere $ S^{n+1} $ is equal to $ n $. The proof uses the spectral properties of the heat kernel operator corresponding to the submanifold.
    • ISSN:
      2473-6988
    • Relation:
      https://doaj.org/toc/2473-6988; https://doaj.org/article/3289a057abb0452b81ebf30950447c1e
    • الرقم المعرف:
      10.3934/math.20231355
    • الدخول الالكتروني :
      https://doi.org/10.3934/math.20231355
      https://doaj.org/article/3289a057abb0452b81ebf30950447c1e
    • الرقم المعرف:
      edsbas.D59A3999