Quasi-positive curvature on Bazaikin spaces

نویسندگان

چکیده

We completely characterize the sectional curvature of all 13-dimensional Bazaikin spaces. In particular, we show that spaces admit a quasi-positively curved Riemannian metric, and that, up to isometry, there is unique space which almost positively but not curved.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A note on quasi-positive curvature conditions

Article history: Received 10 July 2013 Available online 17 April 2014 Communicated by D.V. Alekseevsky MSC: primary 53C21 secondary 53C20 We classify the triples H ⊂ K ⊂ G of nested compact Lie groups which satisfy the “positive triple” condition that was shown in [17] to ensure that G/H admits a metric with quasi-positive curvature. A few new examples of spaces that admit quasi-positively curv...

متن کامل

Quasi-positive Curvature on Homogeneous Bundles

We provide new examples of manifolds which admit a Riemannian metric with sectional curvature nonnegative, and strictly positive at one point. Our examples include the unit tangent bundles of CP, HP and CaP, and a family of lens space bundles over CP.

متن کامل

Some New Examples with Quasi-positive Curvature

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of nonnegatively curved manifolds which contain a point at which all 2-planes have positive curvature. We show that there are generalisations of the well-known Eschenburg spaces together with quotients of S×S which admit metrics with this property. It is an unfortunate fact tha...

متن کامل

On the Geometry of Homogeneous Spaces of Positive Curvature

This Master’s thesis is a study of some of the geometric properties of Riemannian homogeneous spaces. These are Riemannian manifolds M equipped with a transitive group of isometries G, meaning that the local geometry of the manifold is the same at every point. In Section 1.3 we see that such spaces are diffeomorphic to the quotient G/K, where G is a Lie group and K is the isotropy group at the ...

متن کامل

Metrics of positive Ricci curvature on quotient spaces

One of the classical problems in differential geometry is the investigation of closed manifolds which admit Riemannian metrics with given lower bounds for the sectional or the Ricci curvature and the study of relations between the existence of such metrics and the topology and geometry of the underlying manifold. Despite many efforts during the past decades, this problem is still far from being...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annals of Global Analysis and Geometry

سال: 2022

ISSN: ['1572-9060', '0232-704X']

DOI: https://doi.org/10.1007/s10455-022-09845-1