Geometric deformations of immersed surfaces in non-positively curved\n manifolds

2003/11/17 by Valery Marenich, Marenich, Valery
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0311282

openalex publication_date 2003/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper has been withdrawn by the author due to serious error found in main argument.

Citations

• Harmonic Mappings of Riemannian Manifolds
• Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Related

• Einstein metrics on some exotic negatively curved manifolds
• Nonnegatively and Positively curved manifolds
• Examples of Riemannian Manifolds with non-negative sectional curvature
• Lectures on Immersions with Controlled Curvatures
• On deformations of flag manifolds with B2=1