A momentum construction for circle-invariant Kähler metrics
نویسندگان
چکیده
منابع مشابه
5 N ov 1 99 8 A Momentum Construction for Circle - Invariant Kähler Metrics ∗
4 Limitations, Examples, and Literature Survey 29 4.1 Scope of the Momentum Construction . . . . . . . . . . . . . . . . . . . . . . . . . . 30 4.2 Line Bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.3 Vector Bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 4.4 Metrics of Finite Fibre Area . . . . . . . . . . ...
متن کاملA Momentum Construction for Circle-invariant Kähler Metrics
Examples of Kähler metrics of constant scalar curvature are relatively scarce. Over the past two decades, several workers in geometry and physics have used symmetry reduction to construct complete Kähler metrics of constant scalar curvature by ODE methods. One fruitful idea—the “Calabi ansatz”—is to begin with an Hermitian line bundle p : (L, h)→ (M, gM ) over a Kähler manifold, and to search f...
متن کاملKähler metrics ( II )
This paper, the second of a series, deals with the function space of all smooth Kähler metrics in any given closed complex manifold M in a fixed cohomology class. This function space is equipped with a pre-Hilbert manifold structure introduced by T. Mabuchi [10], where he also showed formally it has non-positive curvature. The previous result of the second author [4] showed that the space is a ...
متن کاملKähler Metrics on G
We study G-invariant Kähler metrics on G from the Hamiltonian point of view. As an application we show that there exist G × G-invariant Ricci-flat Kähler metrics on G for any compact semisimple Lie group G.
متن کاملKähler metrics on
We study G-invariant Kähler metrics on G from the Hamiltonian point of view. As an application we show that there exist G × G-invariant Ricci-flat Kähler metrics on G for any compact semisimple Lie group G.
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: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-02965-3