Titlebook: Complex, Contact and Symmetric Manifolds; In Honor of L. Vanhe Oldřich Kowalski,Emilio Musso,Domenico Perrone Book 2005 Birkhäuser Boston 2

避开

https://doi.org/10.1007/978-3-662-48708-2We construct a family of balanced signature pseudo-Riemannian manifolds, which arise as hypersurfaces in flat space, that are curvature homogeneous, that are modeled on a symmetric space, and that are not locally homogeneous.

Prostaglandins

https://doi.org/10.1007/978-3-662-48708-2The aim of this exposition is to place our recent joint work on anti-self-dual Hermitian surfaces in the more general context of .—which literally means that the metric is conformal to a Kähler metric, locally. From now on we will adopt the standard notation . for these metrics which were introduced and studied by Vaisman in the 1970s.

纬线

https://doi.org/10.1007/978-3-662-48708-2In the last few years, many works have appeared containing examples and general results on harmonicity and minimality of vector fields in different geometrical situations. This survey will be devoted to describe many of the known examples, as well as the general results from where they are obtained.

笨拙的我

Studies in Systems, Decision and ControlWe give a complete classification of the complex forms of quaternionic symmetric spaces.

OTHER

Curvature of Contact Metric Manifolds,This essay surveys a number of results and open questions concerning the curvature of Riemannian metrics associated to a contact form.

compel

Convex Hypersurfaces in Hadamard Manifolds,We prove a theorem about an extremal property of Lobachevsky space among simply connected Riemannian manifolds of nonpositive curvature.

中止

Debrief

压倒性胜利

The Geography of Non-Formal Manifolds,We show that there exist non-formal compact oriented manifolds of dimension . and with first Betti number .. = . ≥ 0 if and only if . ≥ 3 and . ≥ 2, or . ≥ (7 − 2.) and 0 ≤ . ≤ 2. Moreover, we present explicit examples for each one of these cases.

该得

Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous,We construct a family of balanced signature pseudo-Riemannian manifolds, which arise as hypersurfaces in flat space, that are curvature homogeneous, that are modeled on a symmetric space, and that are not locally homogeneous.