Scholarlink

<p>By using conjugate and disconjugate theorems for second-order linear differential equations, we establish an improvement of the Myers theorem for complete Riemannian manifolds via <i>m</i>-Bakry–Émery Ricci curvature with <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\varepsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> </InlineEquation>-range. In contrast to the classical theorem of S.B. Myers (Duke Math. J. 8:401–404, 1941), our result does not always require non-negativity of the <i>m</i>-Bakry–Émery Ricci curvature in the whole manifold and is new even when the <i>m</i>-Bakry–Émery Ricci curvature is reduced to the Ricci curvature.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

An improvement of the Myers theorem via m-Bakry–Émery Ricci curvature with \(\varepsilon \)-range

  • 期刊论文

  • 发表日期：

    2025年7月9日

查看全文
  • Homare Tadano

摘要

By using conjugate and disconjugate theorems for second-order linear differential equations, we establish an improvement of the Myers theorem for complete Riemannian manifolds via m-Bakry–Émery Ricci curvature with \(\varepsilon \) ε -range. In contrast to the classical theorem of S.B. Myers (Duke Math. J. 8:401–404, 1941), our result does not always require non-negativity of the m-Bakry–Émery Ricci curvature in the whole manifold and is new even when the m-Bakry–Émery Ricci curvature is reduced to the Ricci curvature.