Compatibility of Gauss maps with metrics

Eschenburg JH; Kruglikov BS; Matveev VS; Tribuzy R

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Compatibility of Gauss maps with metrics

机译：高斯地图与指标的兼容性

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摘要

We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold M-m into the sphere S-m to be the Gauss map of an isometric immersion u:M-m -> R-n, n = m + 1. We briefly discuss the case of general n as well. (C) 2009 Elsevier B.V. All rights reserved.

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《Differential geometry and its applications》 |2010年第2期|共8页
作者
Eschenburg JH; Kruglikov BS; Matveev VS; Tribuzy R;
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正文语种 eng
中图分类微分几何;
关键词
Compatibility; maps; metrics;

机译：兼容性;地图;指标;

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专利

1. Compatibility of Gauss maps with metrics [J] . Eschenburg JH, Kruglikov BS, Matveev VS, Differential geometry and its applications . 2010,第2期

机译：高斯地图与指标的兼容性
2. Weak Compatibility and Related Fixed Point Theorem for Six Maps in Multiplicative Metric Space [J] . Kamal Kumar, Nisha Sharma, Rajeev Jha, Turkish Journal of Analysis and Number Theory . 2016,第2期

机译：乘法度量空间中六张映射的弱相容性和相关不动点定理
3. Compatibility for Six Self Maps in a Cone Metric Space [J] . P. Sharma, R.S. Chandel International Journal of Pure and Applied Sciences and Technology . 2012,第1期

机译：锥度度量空间中六个自映射的兼容性
4. The Correspondence Problem in Topological Metric Mapping - Using Absolute Metric Maps to Close Cycles [C] . Margaret E. Jefferies, Michael C. Cosgrove, Jesse T. Baker, International Conference on Knowledge-Based Intelligent Information and Engineering Systems(KES 2004) pt.1; 20040920-25; Wellington(NZ) . 2004

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5. Gauss maps and moduli spaces of minimal surfaces in Euclidean spaces. [D] . Mo, Xiaokang. 1990

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6. Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [O] . N. Hussain, P. Salimi -1

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7. Compatibility of Gauss maps with metrics [O] . Eschenburg, J., Kruglikov, B. S., Matveev, V. S., 2009

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8. Linking the Gauss-Bonnet-Chern Theorem, Essential Hopf Maps and Membrane Solitons with Exotic Spin and Statistics [R] . Tze, C. H. 1989

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Compatibility of Gauss maps with metrics

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