In this paper,we study the global singular symplectic flops related to the following affine hypersurface with cyclic quotient singularities,Vr,b={(x,y,z,t)∈C4|xy-z2r+t2=0}/μr(a,-a,b,0),r 2,where b=1 appears in Mori’s minimal model program and b=1 is a new class of singularities in symplectic birational geometry.We prove that two symplectic 3-orbifolds which are singular flops to each other have isomorphic Ruan cohomology rings.The proof is based on the symplectic cutting argument and virtual localization technique.
： Let Lτ be the r-th affiue mean curvature of a hyperovaloid ia A^n＋1, in this paper,we prove that if Lτ≠0 and for some fixed1〈i1〈…〈iτ〈n,i=1∑τLij=Ceverywhereon M, then M must be an ellipsoid, where C is a constant.
