[图书][B] Lie groups and geometric aspects of isometric actions
MM Alexandrino, RG Bettiol - 2015 - Springer
This book is intended for advanced undergraduates, graduate students, and young
researchers in geometry. It was written with two main goals in mind. First, we give a gentle …
researchers in geometry. It was written with two main goals in mind. First, we give a gentle …
[PDF][PDF] Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature
RG Bettiol, AM Krishnan - arXiv preprint arXiv:1606.00778, 2016 - arxiv.org
Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature Page 1
FOUR-DIMENSIONAL COHOMOGENEITY ONE RICCI FLOW AND NONNEGATIVE …
FOUR-DIMENSIONAL COHOMOGENEITY ONE RICCI FLOW AND NONNEGATIVE …
Four-dimensional compact manifolds with nonnegative biorthogonal curvature
E Costa, E Ribeiro Jr - Michigan Mathematical Journal, 2014 - projecteuclid.org
The goal of this article is to study the pinching problem proposed by S.-T. Yau in 1990
replacing sectional curvature by a weaker condition on biorthogonal curvature. Moreover …
replacing sectional curvature by a weaker condition on biorthogonal curvature. Moreover …
Four-manifolds with positive curvature
R Diógenes, E Ribeiro, E Rufino - Glasgow Mathematical Journal, 2021 - cambridge.org
In this note, we prove that a four-dimensional compact oriented half-conformally flat
Riemannian manifold M4 is topologically or, provided that the sectional curvatures all lie in …
Riemannian manifold M4 is topologically or, provided that the sectional curvatures all lie in …
Rigidity of four-dimensional compact manifolds with harmonic Weyl tensor
E Ribeiro Jr - Annali di Matematica Pura ed Applicata (1923-), 2016 - Springer
We prove that a 4-dimensional compact manifold M^ 4 M 4 with harmonic Weyl tensor must
be either locally conformally flat or isometric to a complex projective space CP^ 2, CP 2 …
be either locally conformally flat or isometric to a complex projective space CP^ 2, CP 2 …
Strongly positive curvature
RG Bettiol, RAE Mendes - Annals of Global Analysis and Geometry, 2018 - Springer
We begin a systematic study of a curvature condition (strongly positive curvature) which lies
strictly between positive-definiteness of the curvature operator and positivity of sectional …
strictly between positive-definiteness of the curvature operator and positivity of sectional …
Four-dimensional manifolds with positive biorthogonal curvature
RG Bettiol - arXiv preprint arXiv:1502.02270, 2015 - arxiv.org
Four-dimensional manifolds with positive biorthogonal curvature Page 1 arXiv:1502.02270v2
[math.DG] 20 Nov 2015 FOUR-DIMENSIONAL MANIFOLDS WITH POSITIVE …
[math.DG] 20 Nov 2015 FOUR-DIMENSIONAL MANIFOLDS WITH POSITIVE …
Four-manifolds of pinched sectional curvature
We study closed four-dimensional manifolds. In particular, we show that under various
pinching curvature conditions (for example, the sectional curvature is no more than 5∕ 6 of …
pinching curvature conditions (for example, the sectional curvature is no more than 5∕ 6 of …
[图书][B] Positive intermediate Ricci curvature with symmetries
LG Mouillé - 2020 - search.proquest.com
In this dissertation, we study manifolds that have positive kth-intermediate Ricci curvature,
which we abbreviate as Ric k> 0. This condition interpolates between having positive …
which we abbreviate as Ric k> 0. This condition interpolates between having positive …