Research Output per year

## Research Output 2013 2019

2019

## Positive curvature and symmetry in small dimensions

Amann, M. & Kennard, L., Jan 1 2019, (Accepted/In press) In : Communications in Contemporary Mathematics.Research output: Contribution to journal › Article

Positive Curvature

Symmetry

Euler Characteristic

Elliptic Genus

Nonnegative Curvature

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 journal › Article

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 journal › Article

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 journal › Article

Positive Curvature

Sectional Curvature

Symmetry

Riemannian Metric

Torus

## 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 journal › Article

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 journal › Article

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 proceeding › Chapter

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 proceeding › Chapter

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 journal › Article

Riemannian Metric

Logarithmic

Symmetry

Metric

Connected Sum

9
Citations
(Scopus)

## Topological properties of positively curved manifolds with symmetry

Amann, M. & Kennard, L., Jan 1 2014, In : Geometric and Functional Analysis. 24, 5, p. 1377-1405 29 p.Research output: Contribution to journal › Article

Topological Properties

Torus Action

Symmetry

Connected Sum

Positive Curvature

2013

15
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 journal › Article

Steenrod Algebra

Symmetry

Positive Characteristic

Euler Characteristic

Isometry