Plane Symmetric Domain Wall in Lyra Geometry

In this paper general solutions are found for domain walls in Lyra geometry in the plane symmetric spacetime metric given by Taub. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time varying displacement field β. It is also shown that the results obtained by Rahaman et al [IJMPD, 10, 735 (2001)] are particular case of our solutions. Finally, the geodesic equations and acceleration of the test particle are discussed. This revised version was published online in July 2006 with corrections to the Cover Date.     

车排子凸起与沙湾凹陷过渡带的构造模型

车排子凸起位于准噶尔盆地扎伊尔山前,是夹持在南部四棵树凹陷和东部沙湾凹陷之间的三角构造带。然而对这个三角构造带是原地掩伏构造,山前推覆构造,还是走滑构造控制形成的认识存在争议。目前对于车排子凸起与沙湾凹陷过渡带的构造变形特征以及变形机制的认识尚不清楚。而过渡带是研究该区构造变形与演化的良好区域,精细研究该区域构造几何学与运动学对于揭示其构造变形机制以及认识盆山之间的关系具有积极作用,并对于该区油气勘探具有重要意义。本文以研究区的连片三维地震资料为基础,运用不整合面识别、轴面分析及平衡剖面等方法,对车排子凸起与沙湾凹陷过渡带进行精细的构造解析、建模与构造复原。研究表明,过渡带发育下二叠统（P₁j-P₁f）,中二叠统（P₂x-P₂w）,上二叠统（P₃w）,三叠系（T）,侏罗系（J）,白垩系（K）与古近系-第四系（E-Q）7个构造变形层序。发育佳木河组底部及石炭系内部滑脱层。深部（前二叠系）构造楔发育于整个过渡带,其个数和几何学形态的变化直接影响了上覆背斜形态。构造楔在早二叠世开始楔入,挤压作用持续至三叠纪末期。晚三叠世发育生长地层,显示了P-T构造层褶皱变形的时间,随后三叠纪末期,过渡带受到来自西北缘造山带方向的逆冲推覆构造的叠加作用,表现在后缘发育一系列叠瓦构造,推覆距离约为8 km,南部逆冲断层上盘二叠系-三叠系被剥蚀完全,北部残余少量下二叠统佳木河组。     

Singular value decomposition and cluster analysis as regression diagnostics tools for geodetic applications

It is well known that high-leverage observations significantly affect the estimation of parameters. In geodetic literature, mainly redundancy numbers are used for the detection of single high-leverage observations or of single redundant observations. In this paper a further objective method for the detection of groups of important and less important (and thus redundant) observations is developed. In addition, the parameters which are predominantly affected by these groups of observations are identified. This method thus complements other diagnostics tools, such as, e.g., multiple row diagnostics methods as described in statistical literature (see, e.g., Belsley et al. in Regression diagnostics: identifying influential data and sources of collinearity. Wiley, New York, 1980). The method proposed in this paper is based on geometric aspects of adjustment theory and uses the singular value decomposition of the design matrix of an adjustment problem together with cluster analysis methods for regression diagnostics. It can be applied to any geodetic adjustment problem and can be used for the detection of (groups of) observations that significantly affect the estimated parameters or that are of negligible impact. One of the advantages of the proposed method is the improvement of the reliability of observation plans and thus the reduction of the impact of individual observations (and outliers) on the estimated parameters. This is of particular importance for the very long baseline interferometry technique which serves as an application example of the regression diagnostics tool.     

正二十面体全球剖分模型的Geometry Clipmap球面绘制

地形绘制一直是图形学研究的热点问题,尤其是球面地形绘制,其在形状和数据组织方面比平面地形绘制更加复杂。在已有球面地形绘制算法的基础上,提出一种基于Geometry Clipmap的球面地形剖分与绘制方法。该方法以构建正二十面体球面网格为基础,将正二十面体划分为十个菱形区域,采用球面菱形网格的剖分,针对每个菱形区域的周边网格进行重新剖分和组合,形成一个虚拟的3×3的大菱形区域,扩大了Clipmap的活动范围,并在一定程度上解决了Clipmap的跨边界问题。实验结果表明了本文方法的可行性和有效性。     

资源三号卫星安平地区立体定位的精度分析

考虑资源三号卫星轨道、姿态数据和光学传感器内部结构,构建合适的内方位模型和外方位模型描述内方位元素和外方位元素的误差变化,选取合适的平差模型进行自检校区域网平差。实验结果表明正确的平差模型能显著提高资源三号卫星的立体几何定位精度。     

Five dimensional cosmological models in Lyra geometry with time dependent displacement field

In this paper exact solutions of the five-dimensional vacuum cosmological field equations based on Lyra geometry are obtained. Further it is shown that neither dust distribution nor perfect fluid distributions survive for the model. Some properties of the vacuum model are also discussed.     

Plane Symmetric Cosmic Strings In Lyra Manifold

Static and non-static plane symmetric string cosmological models are obtained in Lyra [Mathematische Zeitsehrift 54, 52, 1951] manifold. Some properties of the models are also discussed.     

Non-existence of five dimensional string cosmological models in Riemannian and Lyra geometries

In this paper, we have attempted to construct five dimensional string cosmological models in Riemannian and Lyra geometries. It is found that cosmic string models do not survive in both the theories. Subsequently, the vacuum cosmological models are constructed and discussed.     

Polygonal terrains on Mars: A contribution to their geometric and topological characterization

Detailed examination of large extensions of polygonal terrains on the surface of Mars and extraction of some characteristic geometric and topological parameters is made possible by the application of image analysis methods to scenes of the Martian surface acquired from orbit. This is illustrated by the analysis of a set of diverse Martian networks, clearly visible in MOC/MGS images with high spatial resolution. It is shown that these networks present, in average, a hexagonal habit, and that they verify two classic laws relative to 2D random networks (those of Lewis and Aboav-Weaire). This research can, through the quantified analysis of the differences and similarities between networks, lead into a much better understanding of the origin and dynamics of this type of features.     

Spacetime is not just space and time

Our physical intuition usually separates space from time, ignoring the spacetime character of the physical reality. In strongly curved spacetimes this may lead to confusion and paradoxes. I present here two examples: (1) in the non-static cosmological spacetimes with flat space sections, the cosmological expansion of space is a true physical effect. Contrary to what the intuition imagines, it cannot be explained as a motion of matter in a non-expanding flat space. (2) Contrary to intuition, for static spacetimes the mathematically simplest 3+1 split is not given by the direct projection as in the standard ADM scheme. The simplest split is defined by a counter intuitive “optical geometry” that redshifts both space and time by the same conformal factor.