Results 11 to 20 of about 404,979 (334)
On Holonomy and Homogeneous Spaces [PDF]
Nagoya Mathematical Journal, 1957 In general a homogeneous space admits many invariant affine connections. Among these are certain connections which appear in many ways to be more natural than the others. We refer to the connections which K. Nomizu in [4] calls canonical affine connections of the first kind.
Bertram Kostant
openalex +5 more sources
On the dimension of homogeneous spaces. [PDF]
Journal of the Mathematical Society of Japan, 1954 Tsuneyo Yamanoshita
openalex +4 more sources
Strongly homogeneous spaces [PDF]
Proceedings of the American Mathematical Society, 1975 Spaces satisfying various conditions have previously been called strongly homogeneous spaces and many results about the group of homeomorphisms of such spaces have been proved. However spaces may satisfy some “strongly homogeneous” condition without being homogeneous.
Carol Kitai
openalex +3 more sources
Monotonicity on homogeneous spaces [PDF]
Mathematics of Control, Signals, and Systems, 2018 This paper presents a formulation of the notion of monotonicity on homogeneous spaces. We review the general theory of invariant cone fields on homogeneous spaces and provide a list of examples involving spaces that arise in applications in information engineering and applied mathematics.
Mostajeran, Cyrus, Sepulchre, Rodolphe
openaire +4 more sources
Tangent Bundles of Homogeneous Spaces are Homogeneous Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we describe how the tangent bundle of a homogeneous space can be viewed as a homogeneous space.
Roger W. Brockett, H. J. Sussmann
openaire +1 more source
Diameters of Homogeneous Spaces [PDF]
Mathematical Research Letters, 2003 Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | |_{G} which induces a bi-invariant metric d_G(x,y)=|Ad(yx^{-1})|_{G} on G. We prove the existence of a constant \approx .12 (independent of G) such that for any closed subgroup H \subsetneq G, the diameter of the quotient
Alexei Kitaev +2 more
openaire +4 more sources
Matrix Models in Homogeneous Spaces [PDF]
, 2002 We investigate non-commutative gauge theories in homogeneous spaces G/H. We construct such theories by adding cubic terms to IIB matrix model which contain the structure constants of G.
Ambjorn +32 more
core +5 more sources
Integrators on homogeneous spaces: Isotropy choice and connections [PDF]
, 2016 We consider numerical integrators of ODEs on homogeneous spaces (spheres, affine spaces, hyperbolic spaces). Homogeneous spaces are equipped with a built-in symmetry. A numerical integrator respects this symmetry if it is equivariant.
Munthe-Kaas, Hans, Verdier, Olivier
core +1 more source