• 36 Citations
  • 3 h-Index
20132020
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Research Output 2013 2018

  • 36 Citations
  • 3 h-Index
  • 7 Article
  • 2 Chapter
2018
1 Citation (Scopus)

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

Fundamental Groups of Manifolds with Positive Sectional Curvature and Torus Symmetry

Kennard, L., Oct 1 2017, In : Journal of Geometric Analysis. 27, 4, p. 2894-2925 32 p.

Research output: Contribution to journalArticle

Positive Curvature
Sectional Curvature
Fundamental Group
Torus
Symmetry
1 Citation (Scopus)

On a generalized conjecture of Hopf with symmetry

Amann, M. & Kennard, L., Feb 1 2017, In : Compositio Mathematica. 153, 2, p. 313-322 10 p.

Research output: Contribution to journalArticle

Positive Curvature
Sectional Curvature
Symmetry
Riemannian Metric
Torus
1 Citation (Scopus)

On dimensions supporting a rational projective plane

Kennard, L. & Su, Z., Jan 1 2017, (Accepted/In press) In : Journal of Topology and Analysis. p. 1-21 21 p.

Research output: Contribution to journalArticle

Projective plane
Quadratic residue
Bernoulli numbers
Numerator
Integrality
2015
3 Citations (Scopus)

Positive curvature and rational ellipticity

Amann, M. & Kennard, L., Oct 10 2015, In : Algebraic and Geometric Topology. 15, 4, p. 2269-2301 33 p., A011.

Research output: Contribution to journalArticle

Positive Curvature
Ellipticity
Rational Homotopy
Homotopy Groups
Euler Characteristic
2014

On the hopf conjecture with symmetry

Kennard, L., Jan 1 2014, Geometry of Manifolds with Non-Negative Sectional Curvature: Editors: Rafael Herrera, Luis Hernandez-Lamoneda. Springer Verlag, p. 111-116 6 p. (Lecture Notes in Mathematics; vol. 2110).

Research output: Chapter in Book/Report/Conference proceedingChapter

Symmetry
Positive Curvature
Positive Characteristic
Euler Characteristic
Isometry

On the Hopf conjecture with symmetry

Kennard, L., Jan 1 2014, Geometry of Manifolds with Non-Negative Sectional Curvature: Editors: Rafael Herrera, Luis Hernandez-Lamoneda. Springer Verlag, p. 111-116 6 p. (Lecture Notes in Mathematics; vol. 2110).

Research output: Chapter in Book/Report/Conference proceedingChapter

Symmetry
7 Citations (Scopus)

Positively curved Riemannian metrics with logarithmic symmetry rank bounds

Kennard, L., Jan 1 2014, In : Commentarii Mathematici Helvetici. 89, 4, p. 937-962 26 p.

Research output: Contribution to journalArticle

Riemannian Metric
Logarithmic
Symmetry
Metric
Connected Sum
2013
14 Citations (Scopus)

On the Hopf conjecture with symmetry

Kennard, L., Apr 8 2013, In : Geometry and Topology. 17, 1, p. 563-593 31 p.

Research output: Contribution to journalArticle

Steenrod Algebra
Symmetry
Positive Characteristic
Euler Characteristic
Isometry