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ON A CONFORMAL GAP AND FINITENESS THEOREM FOR A CLASS OF FOUR MANIFOLDS
ON A CONFORMAL GAP FINITENESS THEOREM CLASS OF FOUR MANIFOLDS
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2014/4/3
In this paper we develop a bubble tree structure for a degenerating class of Riemannian metrics satisfying some global conformal bounds on compact manifolds of dimension 4. Applying the bubble tree st...
Alternating projections on non-tangential manifolds
Alternating projections convergence Non-convexity
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2011/9/15
Abstract: We consider sequences $(B_k)_{k=0}^\infty$ of points obtained by projecting back and forth between two manifolds $\M_1$ and $\M_2$, and give conditions guaranteeing that the sequence converg...
Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds
Continuity of Extremal Transitions Flops Calabi-Yau Manifolds
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2011/1/21
In this paper, we study the behavior of Ricci-flat K¨ahler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la ...