Isometric immersions of warped products
M. Dajczer, T. Vlachos
TL;DR
This paper establishes conditions for when an isometric immersion of a warped product manifold into a space form decomposes into a product of simpler isometric immersions, clarifying the structure of such embeddings.
Contribution
It introduces criteria that guarantee the decomposition of warped product immersions into products of isometric immersions, advancing understanding of their geometric structure.
Findings
Conditions for warped product immersions to decompose into product immersions
Characterization of isometric immersions into space forms
Structural insights into warped product embeddings
Abstract
We provide conditions under which an isometric immersion of a (warped) product of manifolds into a space form must be a (warped) product of isometric immersions.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Advanced Numerical Analysis Techniques