GENERIC QR-SUBMANIFOLDS OF QUATERNION KAEHLER MANIFOLDS
GENERIC QR-SUBMANIFOLDS OF QUATERNION KAEHLER MANIFOLDS
Summary: In this article, generic QR-submanifolds of a quaternion Kaehler manifold are introduced as a generalization of QR-submanifolds and real hypersurfaces of a quaternion Kaehler manifold. Examples of such submanifolds are given, the geometry of the distributions on the submanifold is examined, and mixed geodesic generic QR-submanifolds, a special kind of geodesicity, are investigated. Finally, the main properties of totally umbilical and totally geodesic generic QR-submanifolds are explored.
- Ege University Turkey
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, quaternion Kähler manifold, CR-submanifold, Functions of hypercomplex variables and generalized variables, QR-submanifold, generic QR-submanifold, Quaternion Kaehler manifold, Kähler manifolds, Generic QR-submanifold
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, quaternion Kähler manifold, CR-submanifold, Functions of hypercomplex variables and generalized variables, QR-submanifold, generic QR-submanifold, Quaternion Kaehler manifold, Kähler manifolds, Generic QR-submanifold
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