A Pinching constant for harmonic manifolds
K. Ramachandran, Akhil Ranjan
Abstract
In this note we shall show that the sectional curvature of a harmonic manifold is bounded on both sides. In fact we shall give a pinching constant for all harmonic manifolds. We shall use the imbedding theorem for harmonic manifolds proved by Z.I.Szabo and the description of screw lines in hilbert spaces to prove the result.
Create a lesson
Related papers
Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
D. V. Alekseevsky, V. Cortes
Equivariant K-Theory of Simply Connected Lie Groups
Jean-Luc Brylinski, Bin Zhang
Continuous families of isospectral metrics on simply connected manifolds
Dorothee Schueth
The beta function of a knot
Jean-Luc Brylinski
Prescribing Mean Curvature: Existence and Uniqueness Problems
George I. Kamberov
On the Spinor Representation of Surfaces in Euclidean 3-Space
Thomas Friedrich