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排序方式: 共有119条查询结果,搜索用时 31 毫秒
31.
Xiaoli Chao Ranran Chen 《逼近论及其应用》2008,(3):292-302
We discuss a class of complete Kaihler manifolds which are asymptotically complex hyperbolic near infinity. The main result is vanishing theorems for the second L2 cohomology of such manifolds when it has positive spectrum. We also generalize the result to the weighted Poincare inequality case and establish a vanishing theorem provided that the weighted function p is of sub-quadratic growth of the distance function. We also obtain a vanishing theorem of harmonic maps on manifolds which satisfies the weighted Poincare inequality. 相似文献
32.
V. Majerník 《General Relativity and Gravitation》2003,35(10):1833-1839
The expression of a time-dependent cosmological constant 1/t2 is interpreted as the energy density of a special type of the quaternionic field which is coupled to its own field energy. The general solution of the corresponding field equations yields the field energy which contains an integration constant t
0. If t
0 > 0 then the cosmological constant exhibits no initial singularity at t = 0. In the early universe the black energy associated with can be made small enough for the structure forming of galaxies getting, however, its observational value at the present time. 相似文献
33.
ZHONG Chunping & ZHONG Tongde School of Mathematical Sciences Xiamen University Xiamen China Department of Mathematics Zhejiang University Hangzhou China 《中国科学A辑(英文版)》2006,(11)
Faran posed an open problem about analysis on complex Finsler spaces: Is there an analogue of the (?)-Laplacian? Is there an analogue of Hodge theory? Under the assumption that (M,F) is a compact strongly Kahler Finsler manifold, we define a (?)-Laplacian on the base manifold. Our result shows that the well-known Hodge decomposition theorem in Kahler manifolds is still true in the more general compact strongly Kahler Finsler manifolds. 相似文献
34.
设M是四元双曲空间中的实超曲面,若M是Weingarten形状算子A相对于三个特定方向平行,则M是一个管状超曲面。 相似文献
35.
In this paper, a new type of quaternionic partner curves is defined as generalized quaternionic involute-evolute curves or -quaternionic involute– -quaternionic evolute curves in the four-dimensional Euclidean space. The relations between the Frenet frames and curvatures of the quaternionic involute-evolute curve couple are introduced. Moreover, the necessary and sufficient conditions for a quaternionic curve to have a generalized involute are obtained. 相似文献
36.
张荣业 《应用数学和力学(英文版)》2005,26(10):1363-1374
IntroductionLagrangian mechanics is an important part of analytical mechanics.It was establishedby J.Lagrange by means of the Euclidean analytical geometry and calculus in his famouswork“Analytical Mechanics”in1788.Now,itwas established in Riemann manif… 相似文献
37.
张荣业 《应用数学和力学(英文版)》2006,27(3):353-362
Using the mechanical principle, the theory of modern geometry and advanced calculus, Hamiltonian mechanics was generalized to Kahler manifolds, and the Hamiltonian mechanics on Kahler manifolds was established. Then the complex mathematical aspect of Hamiltonian vector field and Hamilton's equations was obtained, and so on. 相似文献
38.
R. Abreu‐Blaya J. Bory‐Reyes M. Shapiro 《Mathematical Methods in the Applied Sciences》2006,29(15):1861-1881
Given a domain Ω in ?3 with rectifiable boundary, we consider main integral, and some other, theorems for the theory of Laplacian (sometimes called solenoidal and irrotational, or harmonic) vector fields paying a special attention to the problem of decomposing a continuous vector field, with an additional condition, u on the boundary Γof Ω ? ?3 into a sum u = u++u? were u± are boundary values of vector fields which are Laplacian in Ω and its complement respectively. Our proofs are based on the intimate relations between Laplacian vector fields theory and quaternionic analysis for the Moisil–Theodorescu operator. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
39.
S~6中具有常数Kahler角的极小曲面 总被引:4,自引:0,他引:4
球面S6具有典型的近复结构,因而对于其中的曲面可引入Kahler角的概念.本文研究S6内具有常数Kahler角的极小曲面,得到了刚性定理.结合已有结果,易知Simon猜想对于这类曲面成立. 相似文献
40.
Pham Hoang Hiep 《Proceedings of the American Mathematical Society》2008,136(6):2007-2018
The main aim of the present note is to study the convergence in on a compact Kahler mainfold . The obtained results are used to study global extremal functions and describe the -pluripolar hull of an -pluripolar subset in .