We survey some geometric and analytic results under the assumptions of combinatorial curvature bounds for planar/semiplanar graphs and curvature dimension conditions for general graphs.
基金Acknowledgements B.H. was supported by the National Natural Science Foundation ot China (Grant No. 11401106) Y. L. was supported by the National Natural Science Foundation of China (Grant No. 11271011), the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China (11XNI004).
文摘We survey some geometric and analytic results under the assumptions of combinatorial curvature bounds for planar/semiplanar graphs and curvature dimension conditions for general graphs.