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我们将介绍由Bar-Gauduchon-Moroianu给出的spin流形上Dirac算子在度量变化时一阶变分公式的证明。作为应用,我们将计算Dirac算子沿Ricci flow的一阶变分。
Consider a finite set of segments on a plane with endpoints in the general position. In [1] Sylvester posted a problem of finding the measure of the set of lines intersecting all of this segments. In ...
Kirigami takes pop-up books to a whole new level. The Japanese paper craft involves cutting patterns in paper to transform a two-dimensional sheet into an intricate, three-dimensional structure when p...
Researchers from Cornell Engineering and the University of Amsterdam have derived a formula that predicts the effects of environmental noise on quantum information – an advancement crucial for designi...
In this talk, I'll make a discussion on recent progress in the research of scalar curvature. I'll review the backgrounds from Gauss-Bonnet formula to the aspherical conjecture, and then focus on the f...
U.S. and Chinese geologists studying China’s Yellow River have created a new tool that could help Chinese officials better predict and prevent the river’s all-too-frequent floods, which threaten as ma...
IX Formula conference     IX Formula  conference       2017/4/26
We are pleased to announce that Formula IX will be held in Beijing, China on October 15-18, 2017.Formula conference series has long history since 1987 and become an important high-level forum for form...
Formula IX将于2017年10月15至18日在北京友谊宾馆举办。Formula是化学、化工、材料、生物医药等学科领域学术界与产业界交流的重要国际学术会议,交流内容涉及FormulaFormulation Engineering的各个方面。
Background: Iron deficiency (ID) and vitamin D deficiency (VDD) are common among young European children because of low dietary intakes and low compliance to vitamin D supplementation policies. Milk i...
We use the Pieri and Giambelli formulas of [BKT1, BKT3] and the calculus of raising operators developed in [BKT2, T1] to prove a tableau formula for the eta polynomials of [BKT3] and the Stanley sym...
Let X be an orthogonal Grassmannian parametrizing isotropic subspaces in an even dimensional vector space equipped with a nondegenerate symmetric form. We prove a Giambelli formula which expresses a...
Let X be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses an arbitrary Schubert class in H∗ (X, Z) as a polynomial in certain special Schubert classes...
It is shown that the usual first variational formula for the energy of a harmonic map (or equivariant harmonic map) with respect to the conformal structure on a two dimensional domain extends to case ...
In the famous papers [1] and [2], J Cheeger, S Chern and J Simons define characteristic classes for flat G–bundles. Each such characteristic class is given by a corresponding universal c...
An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas...

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