A sharp stability estimate for tensor tomography in non-positive curvature
نویسندگان
چکیده
منابع مشابه
A Sharp Stability Estimate in Tensor Tomography
where γ runs over the set of all geodesics with endpoints on ∂M . All potential fields dv given by (dv)ij = 1 2 (∇ivj +∇jvi) with v = 0 on ∂M belong to the kernel of I. The ray transform I is called s-injective if this is the only obstruction to injectivity, i.e., if If = 0 implies that f is potential. S-injectivity can only hold under certain assumptions on (M, g). A natural conjecture is that...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2020
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-020-02638-x