نتایج جستجو برای: cheng yau operator
تعداد نتایج: 102716 فیلتر نتایج به سال:
Let 0: M-,S" be a minimal immersion of a compact surface into a unit sphere. Then, the linear functions of 0 are eigenfunctions for the Laplacian of M corresponding to the eigenvalue 2=2 . The main purpose of this paper is to study those minimal surfaces for which 2 is exactly the first non-zero eigenvalue of its Laplacian. This kind of immersions have a peculiar behaviour among all compact min...
Ching-Yu Cheng, Kenji Yamashiro, Li Jia Chen, Jeeyun Ahn, Lulin Huang, Lvzhen Huang, Chui Ming G. Cheung, Masahiro Miyake, Peter D. Cackett, Ian Y. Yeo, Augustinus Laude, Ranjana Mathur, Junxiong Pang, Kar Seng Sim, Adrian H. Koh, Peng Chen, Shu Yen Lee, Doric Wong, Choi Mun Chan, Boon Kwang Loh, Yaoyao Sun, Sonia Davila, Isao Nakata, Hideo Nakanishi, Yumiko Akagi-Kurashige, Norimoto Gotoh, Aki...
(1.1) det(uzj z̄k) = ψ(z, u,∇u) in Ω, u = φ on ∂Ω and related questions. When Ω is a strongly pseudoconvex domain, this problem has received extensive study. In [4]-[6], E. Bedford and B. A. Taylor established the existence, uniqueness and global Lipschitz regularity of generalized pluri-subharmonic solutions. S.-Y. Cheng and S.-T. Yau [8], in their work on complete Kähler-Einstein metrics on no...
The purpose of this contribution is to show how a nuclear field theory follows naturally from the structure of four–dimensional Riemannian geometry. A Yang– Mills field is introduced by constructing fibres that include all possible exchanges of spin, parity and charge such that the collective quantum numbers remain the same. In this way O(4) internal symmetry transformations are found and a con...
We analyze in detail the description of type IIB theory on a Calabi-Yau three-fold near a conifold singularity in terms of intersecting D-branes. In particular we study the singularity structure of higher derivative F -terms of the form FgW 2g where W is the gravitational superfield. This singularity is expected to be due to a one -loop contribution from a charged soliton hypermultiplet becomin...
Let A be a self-adjoint operator acting over a space X endowed with a partition. We give lower bounds on the energy of a mixed state ρ from its distribution in the partition and the spectral density of A. These bounds improve with the refinement of the partition, and generalize inequalities by Li-Yau and Lieb–Thirring for the Laplacian in R. They imply an uncertainty principle, giving a lower b...
We propose a way to examine N=1 and N=2 string dualties on Calabi-Yau three-folds and their basis or extensions. Our way is to find out or to construct two types of toric representations of a Calabi-Yau three-fold, which contain phases of topologically equivalent or phases connected by flops. We discuss how to find relations among Calabi-Yau three-fold realized in different toric representation...
A new framework is found for the compactification of supersymmetric string theory. It is shown that the massless spectra of Calabi–Yau manifolds of complex dimension Dcrit can be derived from noncritical manifolds of complex dimension 2k + Dcrit, k ≥ 0. These higher dimensional manifolds are spaces whose nonzero Ricci curvature is quantized in a particular way. This class is more general than t...
Calabi–Yau m-folds (M,J, ω,Ω) are compact complex manifolds (M,J) of complex dimension m, equipped with a Ricci-flat Kähler metric g with Kähler form ω, and a holomorphic (m, 0)-form Ω of constant length |Ω| = 2. Using Algebraic Geometry and Yau’s solution of the Calabi Conjecture, one can construct them in huge numbers. String Theorists (a species of theoretical physicist) are very interested ...
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