LOCALLY SYMMETRICAL QUATERNIONIC KAHLER-MANIFOLDS

被引：1
|
作者：
MONAR, MD
VANHECKE, L
机构：
[1] UNIV LA LAGUNA,DEPT MATEMAT FUNDAMENTAL,SECC GEOMETRIA & TOPOL,LA LAGUNA,SPAIN
[2] KATHOLIEKE UNIV LEUVEN,DEPT MATH,B-3001 LOUVAIN,BELGIUM
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1994年 / 4卷 / 02期
关键词：
QUATERNIONIC KAHLER MANIFOLDS; LOCALLY SYMMETRICAL SPACES; QUATERNIONIC SPACE FORMS; OMEGA-PRESERVING AND QUATERNIONIC TRANSFORMATIONS; GEOMETRY OF GEODESIC SPHERES; LOCAL REFLECTIONS AND LOCAL ROTATIONS;
D O I：
10.1016/0926-2245(94)00010-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
One derives a criterion for a quaternionic Kahler manifold to be locally symmetric by using the covariant derivative of the Riemannian curvature tensor. Then one shows the usefulness of this fundamental result by characterizing this class of spaces by means of the intrinsic and intrinsic geometry of the geodesic spheres and the properties of local reflections (geodesic symmetries) and rotations. The results are similar to the ones obtained in [7,23] in the framework of Kahler geometry.
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页码：127 / 149
页数：23
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