For the most general supersymmetric solutions of type IIB supergravity consisting of a warped product of AdS5 with a five-dimensional manifold M5, we construct an explicit consistent Kaluza-Klein reduction on M5 to minimal D = 5 gauged supergravity. Thus, any solution of the gauged supergravity can be uplifted on M5 to obtain an exact solution of type IIB supergravity. We also show that for gen...

despite recent advances in video inpainting techniques, reconstructing large missing regions of a moving subject while its scale changes remains an elusive goal. in this paper, we have introduced a scale-change invariant method for large missing regions to tackle this problem. using this framework, first the moving foreground is separated from the background and its scale is equalized. then, a ...

Our paper aims to study the geometry of submanifolds an almost-complex metallic manifold. We give example this type manifold, and reveal fundamental properties structure induced on submanifolds. establish subsets in manifolds, such as invariant, anti-invariant, slant

We construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented two-manifold a di erential graded algebra. For a three-manifold with speci ed boundary, the invariant comes in two di erent versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-de ned up to chain homotopy equivale...

We study the existence of ground states a Schrödinger–Poisson–Slater type equation with pure power nonlinearity. By carrying out constrained minimization on special manifold, which is combination Pohozaev manifold and Nehari we obtain state solutions this system.

We recall the complex structure on generalized loop spaces Wk,2(S,X), where S is a compact real manifold with boundary and X manifold, prove Hartogs-type extension theorem for holomorphic maps from certain domains in spaces.