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Results in Mathematics
Article . 2001 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article . 2001
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2001
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Some Aspects of the global Geometry of Entire Space-Like Submanifolds

Some aspects of the global geometry of entire space-like submanifolds
Authors: Jost, J.; Xin, Y. L.;

Some Aspects of the global Geometry of Entire Space-Like Submanifolds

Abstract

We prove some Bernstein theorems for entire space-like submanifolds in pseudo-Euclidean spaces and, as a corollary, we obtain a new proof of the Calabi-Pogorelov theorem on global solutions of Monge-Ampere equations.

Keywords

Mathematics - Differential Geometry, linear subspace, pseudo-Euclidean space, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), 53A10, 35J60, 49Q05, Global submanifolds, FOS: Mathematics, space-like submanifold, Harmonic maps, etc., Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
55
Top 10%
Top 10%
Average
Green
bronze
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