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In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem of surface theory. A...
The purpose of this paper is to prove that an AH3-manifold of constant antiholomorphic sectional curvature is a real space form or a complex space form.
We prove that an AK2-manifold of dimension 2m ≥ 6 and of pointwise constant antiholomorphic sectional curvature is either a 6-dimensional manifold of constant negative sectional curvature or is local...
In this paper we consider nearly K¨ahler manifolds of pointwise constant antiholomorphic sectional curvature. An analogue of Schurs theorem is proved and a classification theorem for such manifolds...
This paper deals with the computation of sectional curvature for the manifolds of N land- marks (or feature points) in D dimensions, endowed with the Riemannian metric induced by the group action of...
We consider the cross curvature flow, an evolution equation of metrics on 3-manifolds. We establish short time existence when the sectional curvature has a sign. In the case of negative sectional curv...
An Example of Lie Group with Sasakian Structure of Constant $\Phi-$sectional Curvature

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