A Pinching constant for harmonic manifolds

Details A Pinching constant for harmonic manifolds A Pinching constant for harmonic manifolds

1996-03-25

arxiv.org/abs/dg-ga/9603014v1

Mathematics

Differential Geometry

4 pages, latex (e-mail: kram@..., aranjan@ganit.math.iitb.ernet.in)

Scientific paper

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.

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