Article ID Journal Published Year Pages File Type
4610279 Journal of Differential Equations 2013 11 Pages PDF
Abstract

We present a deformation process of surfaces from a product space M1×RM1×R into another product space M2×RM2×R such that the relation of the principal curvatures of the deformed surfaces can be controlled in terms of the curvatures of M1M1 and M2M2. Thus, we obtain subsolutions for the existence or barriers for the non-existence of surfaces with prescribed curvatures in a general product space M×RM×R.

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Related Topics
Physical Sciences and Engineering Mathematics Analysis
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