Constant mean curvature surfaces of Delaunay type along a closed geodesic

TL;DR

This paper constructs Delaunay type constant mean curvature surfaces aligned along a nondegenerate closed geodesic within a 3D Riemannian manifold, expanding understanding of geometric structures in curved spaces.

Contribution

It introduces a method to construct Delaunay type constant mean curvature surfaces along closed geodesics in 3D Riemannian manifolds, a novel geometric configuration.

Findings

Construction of Delaunay type CMC surfaces along closed geodesics

Extension of classical Delaunay surfaces to curved ambient spaces

Insights into the geometry of CMC surfaces in Riemannian manifolds

Abstract

In this paper, we construct Delaunay type constant mean curvature surfaces along a nondegenerate closed geodesic in a 3-dimensional Riemannian manifold.