Geometry of Submanifolds and Homogeneous Spaces
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Beschreibung
The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F. Klein's Erlangen Program and S. Lie's idea to use continuous symmetries in studying differential equations. In this Special Issue, we provide a collection of papers that not only reflect some of the latest advancements in both areas, but also highlight relations between them and the use of common techniques. Applications to other areas of mathematics are also considered.
Autor*in
Andreas Arvanitoyeorgos
Themen in »Geometry of Submanifolds and Homogeneous Spaces«
mean curvature warped products compact Riemannian manifolds pointwise bi-slant immersions inequalities real hypersurfaces non-flat complex space forms *-Ricci tensor *-Weyl curvature tensor slant curves Legendre curves magnetic curves Sasakian Lorentzian manifold homogeneous manifold homogeneous Finsler space