For any compact Kähler manifold M , the cone of Kählerian in-finitesimal deformations of M , say KID(M), is by definition the subset of H 1 (M, Θ) (the 1 st cohomology of the holomorphic tangent sheaf of M) consisting of those elements in the images of Kodaira-Spencer maps for the germs of complex analytic families (X, M) → (S, 0) such that X carries a Kähler metric. If M is a complex torus of ...

We study the multiplicity modulo 2 of real analytic hypersurfaces. We prove that, under some assumptions on the singularity, the multiplicity modulo 2 is preserved by subanalytic bi-Lipschitz homeomorphisms of R. In the first part of the paper, we find a subset of the tangent cone which determines the multiplicity mod 2 and prove that this subset of S is preserved by the antipodal map. The stud...

In this paper, we define a new cone ball-metric and get fixed points and common fixed points for the Meir-Keeler type functions in cone ball-metric spaces. Department of Applied Mathematics, National Hsinchu University, of Education, Taiwan. E-mail address: [email protected] E-mail address: [email protected] Date: Received: 2 November 2011; Accepted: 26 May 2012. ∗ Corresponding ...

The object of this paper is to introduce the concept of compatibility of pair of self maps in a cone metric space without assuming its normality. Using this concept we establish a unique common fixed point theorem for four self maps satisfying a generalized contractive condition in a cone metric space which generalizes and synthesizes the results of L. G. Huang and X. Zhang [3]( J. Math. Anal. ...

PURPOSE It has not been clarified whether early age-related macular degeneration (AMD) is associated with cone photoreceptor distribution. We used adaptive optics fundus camera to examine cone photoreceptors in the macular area of aged patients and quantitatively analyzed its relationship between the presence of early AMD and cone distribution. METHODS Sixty cases aged 50 or older were studie...

We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of DancšHegedüs-Medvegyev’s principle and the existence theorem related with Ekeland’s variational principle, Caristi’s common fixed point theorem for multivalued maps, Takahashi’s nonconvex minimization theore...

It was shown that quantum metric fluctuations smear out the singularities of Green’s functions on the light cone [1], but it does not remove other ultraviolet divergences of quantum field theory. We have proved that the quantum field theory in Krein space, i.e. indefinite metric quantization, removes all divergences of quantum field theory with exception of the light cone singularity [2, 3]. In...