【摘 要】
：
The realization of abstract 2-D Riemannian manifold in R^3 is a fundamental and challenging problem in the field of differential geometry.The problem is equival
【机 构】
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ChineseAcademyofSciences,China
【出 处】
：
2014年非线性偏微分方程的演化国际会议
论文部分内容阅读
The realization of abstract 2-D Riemannian manifold in R^3 is a fundamental and challenging problem in the field of differential geometry.The problem is equivalent to solve initial and/or boundary value problems of Gauss-Codazzi systems,which are of nonlinear partial differential equations of mixed elliptic-hyperbolic type.In this talk,we will show the isometric immersion in R^3 of two types of 2-D Riemannian manifolds with negative Gauss curvature.In particular,the result includes two important surfaces-catenoid and helicoid,and does not require any smallness of initial data.
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