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<p>We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundary. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area.</p>

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Compact gradient Einstein-type manifolds with boundary

  • 期刊论文

  • 发表日期：

    2025年4月28日

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  • Allan George de Carvalho Freitas,
  • José Nazareno Vieira Gomes

摘要

We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundary. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area.