Examples of Simply Connected Compact Complex 3-folds II
نویسندگان
چکیده
منابع مشابه
Examples of simply-connected Liouville manifolds with positive spectrum
For each n 2 3, we present a family of Riemannian metrics g on W” such that each Riemannian manifold M” = (IT’, g) has positive bottom of the spectrum of Laplacian A, (M”) > 0 and bounded geometry 1 K 1 < C but M” admits no non-constant bounded harmonic functions. These Riemannian manifolds mentioned above give a negative answer to a problem addressed by Schoen-Yau [ 181 in dimension n > 3.
متن کاملCobordism Theorem and Simply-Connected 3-Manifold
Every compact smooth simply connected 3-manifold is a twisted 3-sphere, so every smooth simply connected 3-manifold is diffeomorphic to S.
متن کاملBasic gerbe over non simply connected compact groups
We present an explicit construction of the basic bundle gerbes with connection over all connected compact simple Lie groups. These are geometric objects that appear naturally in the Lagrangian approach to the WZW conformal field theories. Our work extends the recent construction of E. Meinrenken [9] restricted to the case of simply connected groups.
متن کاملMean eigenvalues for simple, simply connected, compact Lie groups
We determine for each of the simple, simply connected, compact and complex Lie groups SU(n), Spin(4n+2) and E6 that particular region inside the unit disk in the complex plane which is filled by their mean eigenvalues. We give analytical parameterizations for the boundary curves of these so-called trace figures. The area enclosed by a trace figure turns out to be a rational multiple of π in eac...
متن کاملRationally connected 3-folds and symplectic geometry
The first condition tells that ω is of type (1, 1). The last condition is called the taming condition. We will consider more generally taming symplectic forms α on X. These forms are thus non necessarily of type (1, 1) but their (1, 1)-part is positive (but not necessarily closed). Let X and Y be two complex projective or compact Kähler manifolds. The set of taming symplectic forms on X, resp. ...
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: Tokyo Journal of Mathematics
سال: 1986
ISSN: 0387-3870
DOI: 10.3836/tjm/1270150972