Guofang Wei | Academic Influence

Guofang Wei's AcademicInfluence.com Rankings

Guofang Wei

Mathematics

#3842

World Rank

#5574

Historical Rank

#1383

USA Rank

Group Theory

#357

World Rank

#412

Historical Rank

#70

USA Rank

Number Theory

#418

World Rank

#518

Historical Rank

#71

USA Rank

Algebra

#645

World Rank

#850

Historical Rank

#119

USA Rank

mathematics Degrees

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Mathematics

Guofang Wei's Degrees

PhD Mathematics Peking University
Masters Mathematics Peking University
Bachelors Mathematics Peking University

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Why Is Guofang Wei Influential?

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According to Wikipedia, Guofang Wei is a mathematician in the field of differential geometry. She is a professor at the University of California, Santa Barbara. Education Wei earned a doctorate in mathematics from the State University of New York at Stony Brook in 1989, under the supervision of Detlef Gromoll. Her dissertation produced fundamental new examples of manifolds with positive Ricci curvature and was published in the Bulletin of the American Mathematical Society. These examples were later expanded upon by Burkard Wilking.

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Guofang Wei's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Comparison geometry for the Bakry-Emery Ricci tensor (2007) (555)
Rigidity of Quasi-Einstein Metrics (2008) (222)
Relative Volume Comparison with Integral Curvature Bounds (1997) (152)
On the stability of Riemannian manifold with parallel spinors (2003) (95)
Analysis and geometry on manifolds with integral Ricci curvature bounds. II (2000) (74)
Hausdorff convergence and universal covers (2000) (71)
Smoothing Riemannian metrics with Ricci curvature bounds (1994) (46)
COMPARISON GEOMETRY FOR THE BAKRY-EMERY (2009) (45)
Local Sobolev Constant Estimate for Integral Ricci Curvature Bounds (2016) (44)
Universal covers for Hausdorff limits of noncompact spaces (2002) (43)
Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups (1988) (42)
Comparison Geometry for the Smooth Metric Measure Spaces (2007) (39)
On the variational stability of Kähler-Einstein metrics (2007) (37)
Erratum to: "The covering spectrum of a compact length space'' (2003) (32)
Manifolds with a lower Ricci Curvature Bound (2006) (31)
Controlled Geometry via Smoothing (1995) (26)
Sharp fundamental gap estimate on convex domains of sphere (2016) (25)
Comparison Geometry with Integral Curvature Bounds (1997) (25)
On the fundamental groups of manifolds with almost-nonnegative Ricci curvature (1990) (22)
On the universal cover and the fundamental group of an RCD*(K,N)-space (2016) (22)
First eigenvalue of the $p$-Laplacian under integral curvature condition (2017) (21)
Fundamental Gap of Convex Domains in the Spheres (2017) (21)
Fundamental gap estimate for convex domains on sphere — the case $n=2$ (2018) (20)
A comparison-estimate of Toponogov type for Ricci curvature (1995) (18)
A heat kernel lower bound for integral Ricci curvature (1998) (18)
Integral pinching theorems (2000) (18)
Ricci curvature and betti numbers (1994) (16)
Metrics of positive Ricci curvature on bundles (2001) (16)
Metrics of positive Ricci curvature on vector bundles over nilmanifolds (2001) (16)
Reilly-type inequalities for p-Laplacian on submanifolds in space forms (2018) (15)
Describing the universal cover of a noncompact limit (2006) (15)
On volumes of hyperbolic orbifolds (2009) (14)
On volumes of complex hyperbolic orbifolds (2012) (12)
NEGATIVE RICCI CURVATURE AND ISOMETRY GROUP (1994) (11)
Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds (2006) (11)
Examples of Ricci limit spaces with non-integer Hausdorff dimension (2021) (11)
On volume growth of gradient steady Ricci solitons (2012) (10)
Semi-local simple connectedness of non-collapsing Ricci limit spaces (2019) (10)
The Vanishing of the Fundamental Gap of Convex Domains in Hn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {H (2021) (9)
Maximal volume entropy rigidity for RCD∗(−(N−1),N) spaces (2018) (9)
The cut-off covering spectrum (2007) (9)
Fundamental Gap Comparison (2018) (6)
Local Sobolev constant estimate for integral Bakry–Émery Ricci curvature (2019) (6)
Neumann isoperimetric constant estimate for convex domains (2016) (6)
Zhong–Yang type eigenvalue estimate with integral curvature condition (2018) (6)
Comparison Geometry for Ricci Curvature (2008) (6)
Eigenvalue estimates for Kato-type Ricci curvature conditions (2020) (6)
On the Stability of Kähler-Einstein Metrics (2005) (5)
On the Stability of K\"ahler-Einstein Metrics (2005) (5)
Rigidity of Minimal Submanifolds in Space Forms (2018) (4)
EXPLICIT FUNDAMENTAL GAP ESTIMATES FOR SOME CONVEX DOMAINS IN H (2020) (4)
Various Covering Spectra for Complete Metric Spaces (2012) (3)
Ancient solutions for flow by powers of the curvature in R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R (2022) (3)
Examples of open manifolds with positive Ricci curvature and non-proper Busemann functions (2022) (3)
Improved Relative Volume Comparison for Integral Ricci Curvature and Applications to Volume Entropy (2018) (3)
Monotonicity Formulas for the Bakry–Emery Ricci Curvature (2013) (2)
The Fundamental Gap of Horoconvex Domains in ℍn (2021) (2)
Ancient solutions for flow by powers of the curvature in $${\mathbb {R}}^2$$ (2020) (2)
RICCI FLOW AND A SPHERE THEOREM FOR L-PINCHED (2021) (2)
Ricci flow and a sphere theorem for L/2-pinched Yamabe metrics (2021) (2)
A Neumann Type Maximum Principle for the Laplace Operator on Compact Riemannian Manifolds (2007) (2)
Fundamental gaps of spherical triangles (2020) (2)
Singular Weyl's law with Ricci curvature bounded below (2022) (2)
The Vanishing of the Fundamental Gap of Convex Domains in $$\mathbb {H}^n$$ H n (2020) (2)
On the volume of orbifold quotients of symmetric spaces (2018) (1)
Log-Concavity and Fundamental Gaps on Surfaces of Positive Curvature (2022) (1)
Explicit fundamental gap estimates for some convex domains in $\mathbb{H}^2$ (2019) (1)
Relative volume comparison for integral Ricci curvature and some applications. (2018) (1)
Ancient solutions for ﬂow by powers of the curvature in R 2 (2021) (1)
2 Universal Cover and δ-Covering Spaces 2 . 1 Covers and Universal Covers (2002) (0)
Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains (2021) (0)
1 3 0 N ov 1 99 4 Smoothing Riemannian Metrics with Ricci Curvature Bounds ∗ (1996) (0)
Fundamental gaps of spherical triangles (2021) (0)
Rigidity of Minimal Submanifolds in Space Forms (2020) (0)
D G ] 2 6 A pr 2 00 5 On the Stability of Kähler-Einstein Metrics (2008) (0)
ON VOLUME GROWTH OF GRADIENT (2013) (0)
D G ] 2 2 Se p 20 01 Metrics of positive Ricci curvature on bundles (2009) (0)
Math 241A | Topics in geometry Topology of Manifolds with Ricci Curvature Bounded from Below Course Outline and Information (2013) (0)
M G ] 1 M ay 2 00 8 The Cut-off Covering Spectrum (2008) (0)
MONOTONICITY FORMULAS FOR (2013) (0)
D G ] 3 0 M ay 2 00 4 Metrics of positive Ricci curvature on bundles (2008) (0)
A ON THE NONNEGATIVITY OF THE PANEITZ OPERATOR (2015) (0)
Math 241 A Instructor : Guofang Wei Fall 2000 (2006) (0)
Manifolds with Lower Curvature Bounds (2013) (0)
The fundamental gap of horoconvex domains in $\mathbb H^n$ (2021) (0)
Universal Covers of Ricci Limit and RCD Spaces (2020) (0)
Contemporary Mathematics Finite Part of Spectrum and Isospectrality (2013) (0)
Volume entropy estimate for integral Ricci curvature (2018) (0)
Monotonicity Formulas for the Bakry–Emery Ricci Curvature (2014) (0)
D G ] 2 9 A ug 2 00 0 Hausdorff Convergence and Universal Covers ∗ (2008) (0)
Comparison and its Generalizations (2013) (0)
Ricci Flow and Gromov Almost Flat Manifolds (2022) (0)
1 0 M ay 2 01 6 ON THE UNIVERSAL COVER AND THE FUNDAMENTAL GROUP OF AN RCD (2016) (0)

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