In this paper, we are able to generalize Theorem 1.1 to the complex Einstein-Finsler case without this assumption. Theorem 1.3. Let (E,F)(E,F) be a complex Einstein-Finsler vector bundle over a compact Kähler manifold (M,g)(M,g) with the Kähler form ΦΦ. Then EE is ΦΦ-...
unless otherwise stated, in this paper we always assume that h and f are left-invariant. recall that the anchor \(\pi : e_{h, f} \rightarrow tg\) is the natural projection, the scalar product is given by $$\begin{aligned} \langle x_{x} +\xi _{x} +\lambda _{x}, y_{x}...
Zwierlein for critical reading and helpful comments on the paper. We are grateful to A. Lam and C. Warner for their contributions to the construction of the experimental apparatus. We also thank I. Bloch, T.-L. Ho and V. Vuletić for their discussions. We acknowledge E. Bellingham and ...
This is clearly not a positive definite expression, and we will see later that the solutions we construct in this paper violate this condition at every point. 3.7 Scaling symmetry and one particle condition The equations of the model are invariant under the scaling transformation (the variables an...
Einsteins fi rst paper explained what light is and how it behaves. The second and third papers proved the existence of tiny parts o 37、f matter called molecules and atoms, and described how they moved. The fi nal two papers offered new explanations for understanding the relationship between ...
These papers were the foundation for the 1905 paper on Brownian motion, which showed that Brownian movement can be construed as firm evidence that molecules exist. His research in 1903 and 1904 was mainly concerned with the effect of finite atomic size on diffusion phenomena.[202] Theory of ...
Now, on to your paper. First of all, if you’re going to quote the Sherwin-Rawcliffe experiment, you should actually find the paper published by Sherwin and Rawcliffe and read it first. Here it is:http://www.dtic.mil/dtic/tr/fulltext/u2/625706.pdf ...
1、Albert Einstein Albert Einstein was born in Ulm, Germany1884Einstein saw a wonder when he was four or five years old: a magnetic compass.The needles northward swing, guided by an invisible force, impressed him.The compass convinced him that there had to be something behind things, ...
The organization of the paper is as follows. In Sect. 2, we give a brief description of the accretion process in EMS theory. In Sect. 3, we review the basic results of the geodesic equation and portray the ISCO of different parameters. In Sect. 4, through the properties of the accretio...
In this paper, we define the spectral Einstein functional associated with the sub-Dirac operator for manifolds with boundary. A proof of the Dabrowski-Sita