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Let ¯Li −→ Xi be a holomorphic line bundle over a compact complex manifold for i = 1, 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on...
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field is recurrent if there exists a 1-form v such that ∇A = A X...
It has been proved that there are no real hypersurfaces satisfying RA =0 in non-flat complex space forms. In this paper we prove that the same is true in the case of CR submanifolds of maximal CR dime...
We explore a new simple N = 2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holom...
On real hypersurfaces in complex space forms many results are proven.In this paper we generalize some results concerning extrinsic geometry of real hypersurfaces, to CR submanifolds of maximal CR dime...
For a generic anti-canonical hypersurface in each smooth toric Fano 4−fold with rank 2 Picard group , we prove there exist three isolated rational curves in it . Moreover , for all these 4−...
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.
In this paper we study the homogeneous Kähler manifolds (h.K.m.) which can be Kähler immersed into finite or infinite dimensional complex space forms. On one hand we completely classify the ...
In this paper we show that a simplicial complex can be determined uniquely up to isomorphism by its barycentric subdivision or comparability graph. At the end, it is summarized several algebraic, comb...
We prove global existence and uniqueness of solutions of Oldroyd-B systems with relatively small data in Rd, in a large functional setting (C \ L1). This is a stability result, solutions select an e...
The Oeljeklaus-Toma (OT-) manifolds are complex manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces Sm.

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