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<p>This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis and global differential geometry. It touches upon key topics such as uniqueness results, height estimates, Riemannian immersions, and the geometrical behavior of submanifolds, while addressing complex phenomena that challenge traditional Euclidean assumptions. Divided into five comprehensive parts, the text provides clear refinements of recent findings, with connections to General Relativity and semi-Riemannian geometry.</p><p>Accessible yet thorough, this monograph is ideal for post-graduate students, researchers, and specialists across mathematics, geometry, and theoretical physics.</p>

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Immersions in Warped Product Spaces

  • 书籍

  • 发表日期：

    2025年

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  • Henrique Fernandes de Lima,
  • Giovanni Molica Bisci,
  • Marco Antonio Lázaro Velásquez

摘要

This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis and global differential geometry. It touches upon key topics such as uniqueness results, height estimates, Riemannian immersions, and the geometrical behavior of submanifolds, while addressing complex phenomena that challenge traditional Euclidean assumptions. Divided into five comprehensive parts, the text provides clear refinements of recent findings, with connections to General Relativity and semi-Riemannian geometry.

Accessible yet thorough, this monograph is ideal for post-graduate students, researchers, and specialists across mathematics, geometry, and theoretical physics.