Biharmonic submanifolds into ellipsoids
S. Montaldo, A. Ratto
TL;DR
This paper constructs proper biharmonic submanifolds within ellipsoids and introduces composition properties to generate extensive families of new biharmonic immersions.
Contribution
It presents new constructions of proper biharmonic submanifolds into ellipsoids and establishes composition properties for generating diverse biharmonic immersions.
Findings
Construction of proper biharmonic submanifolds in ellipsoids
Development of composition properties for biharmonic immersions
Generation of large families of biharmonic submanifolds
Abstract
In this paper we construct proper biharmonic submanifolds into various types of ellipsoids. We also prove, in this context, some useful composition properties which can be used to produce large families of new proper biharmonic immersions.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Point processes and geometric inequalities