Scholarlink

<p>We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_1959_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\((n+1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-dimensional Lorentzian reducible manifold and provide explicit examples, especially in the three-dimensional case. Moreover, in this special case, we determine a general condition characterizing minimal and CMC surfaces and describe some examples.</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

Totally Umbilical Hypersurfaces of Lorentzian Reducible Spaces

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月18日

查看全文
  • Giovanni Calvaruso,
  • Lorenzo Pellegrino

摘要

We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a \((n+1)\) ( n + 1 ) -dimensional Lorentzian reducible manifold and provide explicit examples, especially in the three-dimensional case. Moreover, in this special case, we determine a general condition characterizing minimal and CMC surfaces and describe some examples.