Immersions in Warped Product Spaces

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 beh...

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Bibliographic Details
Main Authors: Fernandes de Lima, Henrique (Author), Molica Bisci, Giovanni (Author), Velásquez, Marco Antonio Lázaro (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edition:1st ed. 2025.
Series:Frontiers in Elliptic and Parabolic Problems,
Subjects:
Online Access:https://doi.org/10.1007/978-3-031-78042-4
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Summary: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.
Physical Description:1 online resource (XVI, 534 p. 4 illus.).
ISBN:9783031780424
ISSN:2730-5503
DOI:10.1007/978-3-031-78042-4