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Maxwell-Einstein Metrics on Completions of Certain C* Bundles
In this paper, we prove that for some completions of certain fiber bundles there is a Maxwell-Einstein metric conformally related to any given Kähler...
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Complete Kähler metrics with positive holomorphic sectional curvatures on certain line bundles (related to a cohomogeneity one point of view on a Yau conjecture)
In this article, we study Kähler metrics on a certain line bundle over some compact Kähler manifolds to find complete Kähler metrics with positive...
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Conformal Symmetry Breaking Operators for Anti-de Sitter Spaces
For a pseudo-Riemannian manifold X and a totally geodesic hypersurface Y, we consider the problem of constructing and classifying all linear...
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Laplacian flow for closed G2 structures: Shi-type estimates, uniqueness and compactness
We develop foundational theory for the Laplacian flow for closed G 2 structures which will be essential for future study. (1). We prove Shi-type...
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Equilibrium shapes of cylindrical rotating liquid drops
We will consider surfaces whose mean curvature at a point is a linear function of the square of the distance from that point to the vertical axis. We...
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Principal bundle structure on jet prolongations of frame bundles
In this paper, we introduce the structure of a principal bundle on the r -jet prolongation J r FX of the frame bundle FX over a manifold X . Our...
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Classification of invariant AHS-structures on semisimple locally symmetric spaces
We discuss which semisimple locally symmetric spaces admit an AHS-structure invariant under local symmetries. We classify them for all types of...
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Stability index jump for constant mean curvature hypersurfaces of spheres
It is known that the totally umbilical hypersurfaces in the ( n + 1)-dimensional spheres are characterized as the only hypersurfaces with weak...
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A new proof of a theorem of A. Khovanskii
We present a proof of the fact that the monodromy group of a Liouvillian function is almost solvable. The first proof of this theorem was given by A....
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On the characteristic connection of gwistor space
We give a brief presentation of gwistor spaces, which is a new concept from G 2 geometry. Then we compute the characteristic torsion T ...
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SO(3)-Structures on 8-manifolds
We study Riemannian 8-manifolds with an infinitesimal action of SO(3) under which each tangent space breaks into irreducible spaces of dimensions 3...
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Almost contact metric manifolds whose Reeb vector field is a harmonic section
We investigate almost contact metric manifolds whose Reeb vector field is a harmonic unit vector field, equivalently a harmonic section. We first...
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Order reduction of the Euler-Lagrange equations of higher order invariant variational problems on frame bundles
Let μ: FX → X be a principal bundle of frames with the structure group Gl n (ℝ). It is shown that the variational problem, defined by Gl ...
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Induced Dirac structures on isotropy-type manifolds
A new method of singular reduction is extended from Poisson to Dirac manifolds. Then it is shown that the Dirac structures on the strata of the...
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The automorphism group of a Banach principal bundle with {1}-structure
A { 1 }-structure on a Banach manifold M (with model space E ) is an E -valued 1-form on M that induces on each tangent space an isomorphism onto E ....