题 目:On Solvability of nonlinear differential systems of any order
报告人:Prof. Yifei Pan
Indiana University-Purdure
时 间:12月23日 16:00-17:00
地 点:管理科研楼 1518
Abstract: We prove a general existence theorem for nonlinear partial
differential systems of any order in one complex variable. A special case of
first order contains a well-known theorem of Nijenhuis and Woolf concerning
local existence of J-holomorphic curves on almost complex manifolds. As an
application to differential geometry, we prove that non constant harmonic
map always exists locally from a Riemann surface to a Riemannian manifold
with a prescribed two dimensional tangent subspace at a given point.
主办单位:中国科学技术大学数学科学学院
国家数学与交叉科学中心合肥分中心
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