Conformally related Riemannian metrics with non-generic holonomy

نویسندگان

چکیده

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

Finsler manifolds with non-Riemannian holonomy

The aim of this paper is to show that holonomy properties of Finsler manifolds can be very different from those of Riemannian manifolds. We prove that the holonomy group of a positive definite non-Riemannian Finsler manifold of non-zero constant curvature with dimension > 2 cannot be a compact Lie group. Hence this holonomy group does not occur as the holonomy group of any Riemannian manifold. ...

متن کامل

ON THE LIFTS OF SEMI-RIEMANNIAN METRICS

In this paper, we extend Sasaki metric for tangent bundle of a Riemannian manifold and Sasaki-Mok metric for the frame bundle of a Riemannian manifold [I] to the case of a semi-Riemannian vector bundle over a semi- Riemannian manifold. In fact, if E is a semi-Riemannian vector bundle over a semi-Riemannian manifold M, then by using an arbitrary (linear) connection on E, we can make E, as a...

متن کامل

Riemannian Twistor Spaces and Holonomy Groups

• The Penrose fibration CP 3 → HP 1 = S4 encodes a large part of the geometry of the 4-sphere. For instance, instanton solutions to the Yang-Mills equations on S4 pull back to holomorphic bundles on CP 3 [30]. This forms the basis of the Atiyah-Drinfeld-HitchinManin classification of the instantons [1]. Again, horizontal curves in CP 3 project onto branched minimal surfaces in S4. Using this Br...

متن کامل

Singular Holonomy of Singular Riemannian Foliations with Sections

In this paper we review some author’s results about singular holonomy of singular riemannian foliation with sections (s.r.f.s for short) and also some results of a joint work with Töben and a joint work with Gorodski. We stress here that the condition that the leaves are compact, used in some of these results, can be replaced by the condition that the leaves are closed embedded. We also briefly...

متن کامل

Sobolev Metrics on the Riemannian Manifold of All Riemannian Metrics

On the manifold M(M) of all Riemannian metrics on a compact manifold M one can consider the natural L-metric as decribed first by [10]. In this paper we consider variants of this metric which in general are of higher order. We derive the geodesic equations, we show that they are well-posed under some conditions and induce a locally diffeomorphic geodesic exponential mapping. We give a condition...

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: Journal für die reine und angewandte Mathematik (Crelles Journal)

سال: 2019

ISSN: 1435-5345,0075-4102

DOI: 10.1515/crelle-2017-0031