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The Linearized System for Isometric Embeddings and Its Characteristic Variety
Qing Han, Marcus Khuri
In this paper we prove a conjecture of Bryant, Griffiths, and Yang concerning the characteristic variety for the determined isometric embedding system. In particular, we show that…
math.DG2011
Rigidity in the Class of Orientable Compact Surfaces of Minimal Total Absolute Curvature
Qing Han, Marcus Khuri
Consider an orientable compact surface in three dimensional Euclidean space with minimum total absolute curvature. If the Gaussian curvature changes sign to finite order and satisf…