Immersions in Warped Product Spaces

Giovanni Molica Bisci author Henrique Fernandes de Lima author Marco Antonio Lázaro Velásquez author

Format:Paperback

Publisher:Birkhauser Verlag AG

Published:28th Dec '24

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Immersions in Warped Product Spaces cover

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.

“This monograph is a substantial and carefully crafted contribution to the theory of submanifolds and hypersurfaces in warped products. It successfully integrates classical submanifold geometry, Lorentzian geometry, weighted manifolds, stability theory, and bifurcation analysis into a single coherent framework. ... Researchers working in Riemannian or Lorentzian geometry, geometric analysis, and mathematical physics will find this monograph to be a valuable reference. It also offers a rich source of ideas and techniques for advanced graduate students entering the field.” (Gabriel Eduard Vilcu, zbMATH 1577.53004, 2026)

ISBN: 9783031780417

Dimensions: unknown

Weight: unknown

534 pages