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The object of this week is to bring together specialists in the domains of Riemannian geometry, low-dimensional topology and geometric group theory to take stock of current interactions and encourage ...
As one of most important objects in mathematics, ‘manifold’ has provided us more and more insights and benefits. In the past half century, more and more different areas in mathematics have been inters...
Geometry of Hermitian manifolds     Geometry of Hermitian manifolds  math       font style='font-size:12px;'> 2010/11/8
By refining the Bochner formulas for any Hermitian complex vector bundle with an arbitrary metric connection over a compact Hermitian manifold, we can kill torsion and derive various vanishing theore...
Recently, the old notion of causal boundary for a spacetime V has been redefined in a consistent way. The computation of this boundary $\partial V$ for a standard conformally stationary spacetime V = ...
We introduce a class of k-potential submanifolds in pseudo-Euclidean spaces and prove that for an arbitrary positive integer k and an arbitrary nonnegative integer p, each N-dimensional Frobenius mani...

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