论文标题
分数狄拉克操作员的calderón问题
The Calderón problem for the fractional Dirac operator
论文作者
论文摘要
我们表明,对遗物矢量捆绑套件的分数dirac操作员的源至实体图的了解,在光滑的封闭的封闭式的Riemannian歧管上$ m \ geq 2 $唯一地决定了平滑的结构,Riemannian Metric,Hermitian Metric,Hermitian Metric,Hermitian Bunnecter and Connection&Clifford Modulo up i isometry。我们还提到了物理和其他领域的几个潜在应用。
We show that knowledge of the source-to-solution map for the fractional Dirac operator acting over sections of a Hermitian vector bundle over a smooth closed connencted Riemannian manifold of dimension $m\geq 2$ determines uniquely the smooth structure, Riemannian metric, Hermitian bundle and connection, and its Clifford modulo up to a isometry. We also mention several potential applications in physics and other fields.