Stably and almost complex structures on bounded flag manifolds
نویسندگان
چکیده
منابع مشابه
Stably and Almost Complex Structures on Bounded Flag Manifolds
We study the enumeration problem of stably complex structures on bounded flag manifolds arising from omniorientations, and determine those induced by almost complex structures. We also enumerate the stably complex structures on these manifolds which bound, therefore representing zero in the complex cobordism ring Ω∗ .
متن کاملPoisson Structures on Complex Flag Manifolds Associated with Real Forms
For a complex semisimple Lie group G and a real form G0 we define a Poisson structure on the variety of Borel subgroups of G with the property that all G0-orbits in X as well as all Bruhat cells (for a suitable choice of a Borel subgroup of G) are Poisson submanifolds. In particular, we show that every non-empty intersection of a G0-orbit and a Bruhat cell is a regular Poisson manifold, and we ...
متن کاملReal Groups Transitive on Complex Flag Manifolds
Let Z = G/Q be a complex flag manifold. The compact real form Gu of G is transitive on Z. If G0 is a noncompact real form, such transitivity is rare but occasionally happens. Here we work out a complete list of Lie subgroups of G transitive on Z and pick out the cases that are noncompact
متن کاملAttractor Networks on Complex Flag Manifolds
Robbin and Salamon showed in [10] that attractor-repellor networks and Lyapunov maps are equivalent concepts and illustrate this with the example of linear flows on projective spaces. In these examples the fixed points are linearly ordered with respect to the Smale order which makes the attractor-repellor network overly simple. In this paper we provide a class of examples in which the attractor...
متن کاملPotential Theory on Almost Complex Manifolds
Pseudo-holomorphic curves on almost complex manifolds have been much more intensely studied than their “dual” objects, the plurisubharmonic functions. These functions are standardly defined by requiring that the restriction to each pseudo-holomorphic curve be subharmonic. In this paper subharmonic functions are defined by applying the viscosity approach to a version of the complex hessian which...
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: Proceedings of the American Mathematical Society
سال: 2005
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-05-08085-8