Topology of compact self-dual manifolds whose twistor space is of positive algebraic dimension
نویسندگان
چکیده
منابع مشابه
Moving Frames on the Twistor Space of Self-dual Positive Einstein 4-manifolds
The twistor space Z of self-dual positive Einstein manifolds naturally admits two 1-parameter families of Riemannian metrics, one is the family of canonical deformation metrics and the other is the family introduced by B. Chow and D. Yang in [C-Y]. The purpose of this paper is to compare these two families. In particular we compare the Ricci tensor and the behavior under the Ricci flow of these...
متن کاملToms Symmetry of Compact Self-Dual Manifolds
We classify compact anti-self-dual Hermitian surfaces and compact four-dimensional conformally flat manifolds for which the group of orientation preserving conformal transformations contains a two-dimensional toms. As a corollary, we derive a topological classification of compact self-dual manifolds for which the group of conformal transformations contains a two-dimensional toms. Mathematics Su...
متن کاملTwistor spaces, mirror symmetry and self-dual Kähler manifolds
We present the evidence for two conjectures related to the twistor string. The first conjecture states that two super-Calabi Yaus – the supertwistor space and the superambitwistor space – form a mirror pair. The second conjecture is that the B-model on the twistor space can be seen as describing a 4-dimensional gravitational theory, whose partition function should involve a sum over “space-time...
متن کاملRicci Flow Unstable Cell Centered at an Einstein Metric on the Twistor Space of Positive Quaternion Kähler Manifolds of Dimension
We construct a 2-parameter family FZ of Riemannian metrics on the twistor space Z of a positive quaternion Kähler manifold M satisfying the following properties : (1) the family FZ contains an Einstein metric gZ and its scalings, (2) the family FZ is closed under the operation of making the convex sums, (3) the Ricci map g 7→ Ric(g) defines a dynamical system on the family FZ, (4) the Ricci flo...
متن کاملSelf-Dual Manifolds with Positive Ricci Curvature
We prove that the connected sums CP2#CP2 and CP2#CP2#CP2 admit self-dual metrics with positive Ricci curvature. Moreover, every self-dual metric of positive scalar curvature on CP2#CP2 is conformal to a metric with positive Ricci curvature. ∗Supported in part by NSF grant DMS-9204093
متن کاملذخیره 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 of the Mathematical Society of Japan
سال: 2002
ISSN: 0025-5645
DOI: 10.2969/jmsj/1191593910