• 440 Citations
  • 6 h-Index
20062022
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Research Output 2006 2018

  • 440 Citations
  • 6 h-Index
  • 18 Article
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Article
2018

Curvature-dimension bounds for Lorentzian splitting theorems

Woolgar, E. & Wylie, W. Oct 1 2018 In : Journal of Geometry and Physics. 132, p. 131-145 15 p.

Research output: Contribution to journalArticle

theorems
Curvature
curvature
Theorem
rigidity

The Weighted Connection and Sectional Curvature for Manifolds With Density

Kennard, L., Wylie, W. & Yeroshkin, D. Apr 24 2018 (Accepted/In press) In : Journal of Geometric Analysis. p. 1-45 45 p.

Research output: Contribution to journalArticle

Sectional Curvature
Sphere Theorem
Negative Curvature
Torsion-free
Comparison Theorem
2017
4 Citations

A warped product version of the cheeger-gromoll splitting theorem

Wylie, W. 2017 In : Transactions of the American Mathematical Society. 369, 9, p. 6661-6681 21 p.

Research output: Contribution to journalArticle

Warped Product
Nonnegative Curvature
Sectional Curvature
Fundamental Group
Theorem
2016
2 Citations

Cosmological singularity theorems and splitting theorems for N-Bakry-émery spacetimes

Woolgar, E. & Wylie, W. Feb 1 2016 In : Journal of Mathematical Physics. 57, 2, 022504

Research output: Contribution to journalArticle

theorems
Space-time
Singularity
Theorem
Tensor
1 Citations

Some curvature pinching results for riemannian manifolds with density

Wylie, W. Feb 1 2016 In : Proceedings of the American Mathematical Society. 144, 2, p. 823-836 14 p.

Research output: Contribution to journalArticle

Ricci Curvature
Sectional Curvature
Solitons
Riemannian Manifold
Curvature
2015
5 Citations

Sectional curvature for Riemannian manifolds with density

Wylie, W. Oct 24 2015 In : Geometriae Dedicata. 178, 1, p. 151-169 19 p.

Research output: Contribution to journalArticle

Sectional Curvature
Riemannian Manifold
Curvature
Sphere Theorem
Second Variation
1 Citations

Uniqueness of Warped Product Einstein Metrics and Applications

He, C., Petersen, P. & Wylie, W. Oct 1 2015 In : Journal of Geometric Analysis. 25, 4, p. 2617-2644 28 p.

Research output: Contribution to journalArticle

Warped Product
Einstein Metrics
Warping
Uniqueness
Structure Theorem
3 Citations

Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons

He, C., Petersen, P. & Wylie, W. Oct 1 2015 In : Journal fur die Reine und Angewandte Mathematik. 2015, 707, p. 217-245 29 p.

Research output: Contribution to journalArticle

Ricci Soliton
Warped Product
Einstein Metrics
Homogeneous Space
Solitons
2 Citations

Warped product rigidity

He, C., Petersen, P. & Wylie, W. 2015 In : Asian Journal of Mathematics. 19, 1, p. 135-170 36 p.

Research output: Contribution to journalArticle

Warped Product
Rigidity
Linear systems
Overdetermined Systems
Ricci Curvature
2014
3 Citations

Warped product Einstein metrics over spaces with constant scalar curvature

He, C., Petersen, P. & Wylie, W. 2014 In : Asian Journal of Mathematics. 18, 1, p. 159-190 32 p.

Research output: Contribution to journalArticle

Constant Scalar Curvature
Warped Product
Lie groups
Einstein Metrics
Fibers
2013
12 Citations

Conformal Diffeomorphisms of Gradient Ricci Solitons and Generalized Quasi-Einstein Manifolds

Jauregui, J. L. & Wylie, W. 2013 (Accepted/In press) In : Journal of Geometric Analysis. p. 1-41 41 p.

Research output: Contribution to journalArticle

Ricci Soliton
Einstein Manifold
Diffeomorphisms
Einstein Metrics
Gradient
2012
37 Citations

On the classification of warped product Einstein metrics

He, C., Petersen, P. & Wylie, W. Mar 2012 In : Communications in Analysis and Geometry. 20, 2, p. 271-311 41 p.

Research output: Contribution to journalArticle

Warped Product
Einstein Metrics
Einstein Equations
Ricci Soliton
Conformally Flat
2010

On the classification of gradient Ricci solitons

Wylie, W., 2010, In : Geometry and Topology. 14, p. 2277 2300 p.

Research output: Contribution to journalArticle

Ricci Soliton
Weyl Tensor
Shrinking
Gradient
Constant Scalar Curvature
2009
188 Citations

Comparison geometry for the bakry-emery ricci tensor

Wei, G. & Wylie, W., Oct 2009, In : Journal of Differential Geometry. 83, 2, p. 377-405 29 p.

Research output: Contribution to journalArticle

Ricci Tensor
Ricci Curvature
Comparison Result
Comparison Theorem
Mean Curvature
59 Citations

On gradient ricci solitons with symmetry

Petersen, P. & Wylie, W., Jun 2009, In : Proceedings of the American Mathematical Society. 137, 6, p. 2085-2092 8 p.

Research output: Contribution to journalArticle

Ricci Soliton
Solitons
Cohomogeneity One
Gradient
Symmetry
87 Citations

Rigidity of gradient Ricci solitons

Petersen, P. & Wylie, W., Jun 2009, In : Pacific Journal of Mathematics. 241, 2, p. 329-345 17 p.

Research output: Contribution to journalArticle

Ricci Soliton
Rigidity
Gradient
Solitons
Albert Einstein
2008
34 Citations

Complete shrinking ricci solitons have finite fundamental group

Wylie, W., May 2008, In : Proceedings of the American Mathematical Society. 136, 5, p. 1803-1806 4 p.

Research output: Contribution to journalArticle

Ricci Soliton
Shrinking
Solitons
Fundamental Group
Tensors
2006
2 Citations

Noncompact manifolds with nonnegative Ricci curvature

Wylie, W. C. 2006 In : Journal of Geometric Analysis. 16, 3, p. 535-550 16 p.

Research output: Contribution to journalArticle

Noncompact Manifold
Nonnegative Curvature
Ricci Curvature
Tangent Cone
Metric space