An Obstacle for Higher Regularity of Geodesics in the Space of K\"ahler Potentials
classification
🧮 math.AP
keywords
ahlergeodesicspotentialsquestionregularitysmoothspaceactually
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In this paper we address the following question regarding the regularity of geodesics in the space of K\"ahler potentials. Given a geodesic which is highly regular, and has smooth boundary value, can we expect that it is actually smooth? We construct an example to show that the answer to the question is ``no".
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