On a Notion of Nonlocal Curvature Tensor

[1]  M. Šilhavý Fractional vector analysis based on invariance requirements (critique of coordinate approaches) , 2020, Continuum Mechanics and Thermodynamics.

[2]  B. Seguin A Fractional Notion of Length and an Associated Nonlocal Curvature , 2018, The Journal of Geometric Analysis.

[3]  P. Podio-Guidugli,et al.  On the Nonlocal Curvatures of Surfaces with or without Boundary , 2017, 1701.06513.

[4]  M. Gaetani Blank on the Geological Map , 2016, Rendiconti Lincei.

[5]  P. Podio-Guidugli A notion of nonlocal Gaussian curvature , 2016 .

[6]  E. Valdinoci,et al.  A Notion of Nonlocal Curvature , 2014 .

[7]  L. Caffarelli,et al.  Regularity properties of nonlocal minimal surfaces via limiting arguments , 2011, 1105.1158.

[8]  L. Caffarelli,et al.  Uniform estimates and limiting arguments for nonlocal minimal surfaces , 2011 .

[9]  L. Ambrosio,et al.  Gamma-convergence of nonlocal perimeter functionals , 2010, 1007.3770.

[10]  L. Caffarelli Surfaces minimizing nonlocal energies , 2009 .

[11]  O. Savin,et al.  Nonlocal minimal surfaces , 2009, 0905.1183.

[12]  P. Souganidis,et al.  Convergence of Nonlocal Threshold Dynamics Approximations to Front Propagation , 2008, 0805.2618.

[13]  Steven J. Ruuth Efficient Algorithms for Diffusion-Generated Motion by Mean Curvature , 1998 .

[14]  H. Piaggio Differential Geometry of Curves and Surfaces , 1952, Nature.

[15]  G. Alberti Distributional Jacobian and singularities of Sobolev maps , 2006 .

[16]  D. Lieberman,et al.  Fourier analysis , 2018, Digital Communication Techniques.

[17]  Elias M. Stein,et al.  Fourier Analysis: An Introduction , 2003 .