On homogeneous geodesics and weakly symmetric spaces
نویسندگان
چکیده
منابع مشابه
Homogeneous geodesics in homogeneous Finsler spaces
In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups. The existence of infinitely many homogeneous geodesics on compact semi-simple Lie group is established. We introduce ...
متن کاملNonlinear Bound States on Weakly Homogeneous Spaces
We prove the existence of ground state solutions for a class of nonlinear elliptic equations, arising in the production of standing wave solutions to an associated family of nonlinear Schrödinger equations. We examine two constrained minimization problems, which give rise to such solutions. One yields what we call Fλ-minimizers, the other energy minimizers. We produce such ground state solution...
متن کاملOn Complex Weakly Commutative Homogeneous Spaces
Let G be a complex algebraic group and L an algebraic subgroup of G. The quotient space G/L is called weakly commutative if a generic orbit of the action G : T ∗(G/L) is a coisotropic submanifold. We classify weakly commutative homogeneous spaces N L/L in the case where L is a reductive group and the natural representation L : n/[n, n], where n is the tangent algebra of the group N , is
متن کاملWeakly Symmetric Spaces and Bounded Symmetric Domainshieu
In this paper, new examples of weakly symmetric spaces in the sense of A. Selberg 14] are constructed. Let G be a connected, simply-connected, simple Lie group of hermitian type and K a maximal compactly embedded subgroup of G such that D = G=K is an irreducible classical bounded symmetric domain. Let G 1 and D 1 be circle extensions of G and D, respectively. The factor of automorphy induces a ...
متن کاملHyperpolar Homogeneous Foliations on Noncompact Symmetric Spaces
We introduce examples of hyperpolar actions on noncompact symmetric spaces that induce a regular foliation. We study some properties of these actions. Finally, we show that any hyperpolar action on a noncompact symmetric space that induces a regular foliation is one of these examples.
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: Annals of Global Analysis and Geometry
سال: 2018
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-018-9641-1