Log-Concavity and Fundamental Gaps on Surfaces of Positive Curvature
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[1] Gabriel Khan,et al. Negative curvature constricts the fundamental gap of convex domains , 2022, 2211.06404.
[2] Christian Rose,et al. Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains , 2021, Mathematische Nachrichten.
[3] Alina Stancu,et al. The Fundamental Gap of Horoconvex Domains in ℍn , 2021, International Mathematics Research Notices.
[4] Albert Y. Zomaya,et al. Partial Differential Equations , 2007, Explorations in Numerical Analysis.
[5] Guofang Wei,et al. Fundamental gap estimate for convex domains on sphere — the case $n=2$ , 2018, Communications in Analysis and Geometry.
[6] Qi S. Zhang,et al. Fundamental Gap of Convex Domains in the Spheres , 2017, American Journal of Mathematics.
[7] Lili Wang,et al. Sharp fundamental gap estimate on convex domains of sphere , 2016, Journal of Differential Geometry.
[8] C. Harris,et al. Diameter , 2016, Definitions.
[9] B. Andrews,et al. Eigenvalue Comparison on Bakry-Emery Manifolds , 2011, 1111.4967.
[10] Ben Andrews,et al. Proof of the fundamental gap conjecture , 2010, 1006.1686.
[11] Cédric Villani,et al. On the Ma–Trudinger–Wang curvature on surfaces , 2010 .
[12] Shing-Tung Yau,et al. An Estimate of the Gap of the First Two Eigenvalues in the Schr , 2009, 0902.2250.
[13] C. Villani. STABILITY OF A 4TH-ORDER CURVATURE CONDITION ARISING IN OPTIMAL TRANSPORT THEORY , 2008 .
[14] Jun Ling. A LOWER BOUND OF THE FIRST DIRICHLET EIGENVALUE OF A COMPACT MANIFOLD WITH POSITIVE RICCI CURVATURE , 2004, math/0406120.
[15] F.-Y. Wang. On estimation of the Dirichlet spectral gap , 2000 .
[16] D. Bakry,et al. Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature☆ , 2000 .
[17] K. Oden,et al. Spectral gap estimates on compact manifolds , 1999 .
[18] G. Huisken. Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature , 1986 .
[19] S. Yau,et al. On the parabolic kernel of the Schrödinger operator , 1986 .
[20] E. Lieb,et al. On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation , 1976 .
[21] Archiv Der Mathematik , 1954, The Mathematical Gazette.
[22] Einzelwerken Muster,et al. Invent , 2021, Encyclopedic Dictionary of Archaeology.
[23] G. Catino,et al. A Perspective on Canonical Riemannian Metrics , 2020 .
[24] Guofang Wei,et al. Fundamental Gap Comparison , 2018 .
[25] Lei Ni. Estimates on the modulus of expansion for vector fields solving nonlinear equations , 2012 .
[26] E. Harrell. Communications in Partial Differential Equations , 2007 .
[27] L. Peter,et al. On the parabolic kernel of the Schr 6 dinger operator , 2006 .
[28] M. Gage,et al. Curve shortening on surfaces , 1990 .
[29] Yin‐Chin Shih. A counterexample to the convexity property of the first eigenfunction on a convex domain of negative curvature , 1989 .
[30] Richard S. Hamilton,et al. The Ricci flow on surfaces , 1986 .
[31] Alan Weinstein,et al. Progress in mathematics , 1979 .
[32] Arild Stubhaug. Acta Mathematica , 1886, Nature.
[33] Paul Painlevé. Henri Poincare , 2022 .