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- W2963512333 abstract "On a smooth, non-compact, complete, boundaryless, connected Riemannian manifold there are two kinds of functions: Busemann functions with respect to rays and barrier functions with respect to lines (if there exists at least one). In this paper we collect some known properties on Busemann functions and introduce some new fundamental properties on barrier functions. Based on these properties of barrier functions, we could define some relations on the set of lines and thus classify them. With the equivalence relation we introduced, we present a generalization of a rigidity conjecture." @default.
- W2963512333 created "2019-07-30" @default.
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- W2963512333 date "2017-07-31" @default.
- W2963512333 modified "2023-10-16" @default.
- W2963512333 title "Busemann Functions and Barrier Functions" @default.
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- W2963512333 doi "https://doi.org/10.1007/s10440-017-0114-5" @default.
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