Eigenvalue Comparison on Bakry-Emery Manifolds

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Andrews, Ben, and Lei Ni. “Eigenvalue Comparison on Bakry-Emery Manifolds”. Communications in Partial Differential Equations, vol. 37, no. 11, 2012, pp. 2081-92, https://doi.org/10.1080/03605302.2012.668602.
Andrews, B., & Ni, L. (2012). Eigenvalue Comparison on Bakry-Emery Manifolds. Communications in Partial Differential Equations, 37(11), 2081-2092. https://doi.org/10.1080/03605302.2012.668602
Andrews, Ben, and Lei Ni. “Eigenvalue Comparison on Bakry-Emery Manifolds”. Communications in Partial Differential Equations 37, no. 11 (2012): 2081-92. https://doi.org/10.1080/03605302.2012.668602.
Andrews B, Ni L. Eigenvalue Comparison on Bakry-Emery Manifolds. Communications in Partial Differential Equations. 2012;37(11):2081-92.
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Citations
Title Journal Journal Categories Citations Publication Date
Aspects of Mean Curvature Flow Solitons in Warped Products Results in Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Eigenvalue Estimates for Beltrami-Laplacian Under Bakry-Émery Ricci Curvature Condition Potential Analysis
  • Science: Mathematics
 2023
Eigenvalue Estimates on Quaternion-Kähler Manifolds The Journal of Geometric Analysis
  • Science: Mathematics
 2 2023
New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds Bulletin of the London Mathematical Society
  • Science: Mathematics
 4 2022
Laplacian comparison theorem on Riemannian manifolds with modified $m$-Bakry-Emery Ricci lower bounds for $m\leq1$ Tohoku Mathematical Journal
  • Science: Mathematics
 2 2022
Citations Analysis
Category Category Repetition
Science: Mathematics28
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods10
Science: Physics2
The category Science: Mathematics 28 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue and was published in 2013. The most recent citation comes from a 2023 study titled Aspects of Mean Curvature Flow Solitons in Warped Products. This article reached its peak citation in 2021, with 6 citations. It has been cited in 21 different journals, 4% of which are open access. Among related journals, the The Journal of Geometric Analysis cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year