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math.DG2011★ 1 cited
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.AP2011
Boundary Value Problems for Mixed Type Equations and Applications
Marcus A. Khuri
In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniqu…
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…