Two-Point Homogeneous Manifolds

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Homogeneous two-manifolds with an invariant two-form

We study a 2-dimensional manifold that is homogeneous acted on by a 3-dimensional Lie group G, and that has a 2-form invariant under G. We show that such a manifold can be realized as a surface in the affine 3-space and list such realizations. Mathematics Subject Classification(2000). 53C30, 53C42, 53C45

متن کامل

Homogeneous and Inhomogeneous Manifolds

All metaLindelöf, and most countably paracompact, homogeneous manifolds are Hausdorff. Metacompact manifolds are never rigid. Every countable group can be realized as the group of autohomeomorphisms of a Lindelöf manifold. There is a rigid foliation of the plane.

متن کامل

Locally Homogeneous Geometric Manifolds

Motivated by Felix Klein’s notion that geometry is governed by its group of symmetry transformations, Charles Ehresmann initiated the study of geometric structures on topological spaces locally modeled on a homogeneous space of a Lie group. These locally homogeneous spaces later formed the context of Thurston’s 3-dimensional geometrization program. The basic problem is for a given topology Σ an...

متن کامل

Complete 3d-Homogeneous Manifolds

Assume that M is close three dimensional manifold. We prove that M \ {p} is a complete homogeneous manifold. As a corollary, we give a new proof on the classical Poincaré’s conjecture. Homogénéité variété de dimension trois Résumé. Soit M est une variété de dimension 3, conexe, fermée. Alors, M \{p} est complet Homogénéité variété. Nous présentons une neuve preuve du la Conjecture sur une varié...

متن کامل

Low-dimensional Homogeneous Einstein Manifolds

A closed Riemannian manifold (Mn, g) is called Einstein if the Ricci tensor of g is a multiple of itself; that is, ric(g) = λ · g. This equation, called the Einstein equation, is a complicated system of second order partial differential equations, and at the present time no general existence results for Einstein metrics are known. However, there are results for many interesting classes of Einst...

متن کامل

ذخیره 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: Indagationes Mathematicae (Proceedings)

سال: 1965

ISSN: 1385-7258

DOI: 10.1016/s1385-7258(65)50077-9