Invariant structures on homogeneous manifolds are of fundamental importance in differential geometry. Recall that an affinor structure F (i.e., a tensor field F of type (1,1)) on a homogeneousâ€¦ (More)

33 patients with complaints of hyposalivation (21 in a 33 with syaloadenopatya and 12 in a 33 with syalosis out of the acute stage of disease) were examined. Complex examination of the saliva glands,â€¦ (More)

For homogeneous reductive spaces G/H with reductive complements decomposable into an orthogonal sum m = m1âŠ•m2âŠ•m3 of three Ad(H)invariant irreducible mutually inequivalent submodules we establishâ€¦ (More)

We use the notion of intrinsic flat distance to address the almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds. In particular, we prove that a sequence ofâ€¦ (More)

In this paper we introduce a new method for manufacturing harmonic morphisms from semi-Riemannian manifolds. This is employed to yield a variety of new examples from the compact Lie groups SO(n),â€¦ (More)

We consider several geometric inequalities in general relativity involving mass, area, charge, and angular momentum for asymptotically hyperboloidal initial data. We show how to reduce each one toâ€¦ (More)

It turns out that if a reductive complement m of a homogeneous reductive space G/H possesses a number of properties (including its decomposability into an orthogonal sum of three Ad(H)-invariantâ€¦ (More)

I began my career in Riemannian Geometry, a field where theorems can be stated in an elegant and easily understood manner depending only on basic notions of topology and geometry. From the start Iâ€¦ (More)