Calibrated submanifolds in neck manifolds
Hiroshi Nakahara
TL;DR
This paper identifies specific calibrated submanifolds within neck manifolds, including a notable example in the Lagrangian self-expander constructed by Joyce, Lee, and Tsui, contributing to geometric analysis.
Contribution
It introduces new calibrated submanifolds in neck manifolds, notably in the context of Lagrangian self-expanders, expanding understanding of calibrated geometry.
Findings
Existence of calibrated submanifolds in neck manifolds
Construction of a calibrated submanifold in Joyce-Lee-Tsui's Lagrangian self-expander
Advancement in geometric analysis of calibrated geometries
Abstract
We find calibrated submanifolds in neck manifolds. Particularly, we obtain a calibrated submanifold in the Lagrangian self-expander constructed by Joyce, Lee and Tsui.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Advanced Differential Geometry Research