1, Differential Manifolds and Riemannian Geometry, Shaanxi Normal University Press,1July, 994;

2. Submanifold Geometry, University of Science and Technology of China Press, August 2003;

3. Fundamentals of Modern Mathematics, Science Press, August 2005;

Second, scientific research projects

1, global differential geometry: curvature, topological and geometric invariants, item number. 1037 1047 (2004-2007);

2. Minimal submanifolds in spherical space, project number 2002kj280 (2002-2003);

3. Minimal hypersurfaces in Euclidean space, project number 2005kJ212 (2005-2006);

Third, representative papers

1. Wang Xinmin, Xu Zhicai, Minimal Submanifolds and Gaussian Maps in Constant Curvature Spaces, Journal of Shaanxi Normal University (Natural Science Edition), No.2,1990;

2. Xu Zhicai, two theorems of parallel surfaces in three-dimensional hyperbolic space, Acta Mathematica1992;

3. Xu Zhicai, Geometric Description of Hypersurfaces with Constant Principal Curvature, Northeast Mathematics: English Version, No.3,1992;

4. Xu Zhicai, A Note on Contact Hypersurfaces in Complex Hyperbolic Spaces, Mathematical Quarterly: English Edition, No.3,1993;

5. Xu Zhicai, Li Haizhong, Stability of Inverse Invariant Minimal Submanifolds in Sasakian Manifolds, Mathematical Research and Comments, 16( 3 )( 1996), 368-370;

6. Xu Zhicai real hypersurface with constant principal curvature in hyperbolic space, Journal of Mathematics, No.4,1996;

7. Xu Zhicai, Real Hypersurfaces with Constant Principal Curvature in Complex Hyperbolic Spaces, Journal of Mathematics. (People's Republic of China (PRC)), 16(4)( 1996), 490-496.

8. Xu Zhicai, An Existence Theorem on Space-like W Hypersurfaces, Pure Mathematics and Applied Mathematics, 13 (2 )( 1997), 64-67.

9. Algebraic research on cubic surfaces of Xu Zhicai, Zhang Wenxiang and Hunter, applied mathematics, 10 (4 )( 1997), 14- 17. (SCI search)

10. Zhang Wenxiang, Xu Zhicai, algebraic construction of spiral triple system, Journal of Mechanical Engineering 1997, No.5.

1 1. Generalization of Xu Zhichun and Delaunay Theorem on Rotating W- Hypersurfaces in Lorentz-Minkowski Space, Bulletin of Southeast Asian Mathematics. ,22( 1998), 473-479.

12. Xu Zhichun, Pinching Theorem of Minimal Submanifolds on a Sphere, Journal of Mathematics, 14(4)( 1998), 487-494.

13. Xu Zhicai, Spacelike Hypersurfaces with Constant Mean Curvature in De Sitter Space (Ⅱ), Journal of Mathematics ... (China) 18 (4) (1998), 465-468.

14. Xu Zhicai, Harmonic Mapping from Riemannian Manifold to Pseudoriemannian Manifold, Pure Mathematics and Applied Mathematics, 14 (3 )( 1998), 46-50.

15. Pinch Theorem of Minimal Submanifolds in Spherical Space, Northeast Mathematics No.4, Xu Zhicai (English Version) 1998.

16 Xu Zhicai, Spacelike Hypersurfaces with Constant Mean Curvature in De Sitter Space, Acta Mathematica, 42 (5 )( 1999), 787-794.

17. Li Yong, Xu Zhicai, Direct Hypersurfaces in Quadratic Hyperbolic Spaces, Journal of Engineering Mathematics, 16 (3 )( 1999), 25-29.

18. Xu Zhicai and Xu Senlin, Pseudoumbilical Surfaces and Their Gaussian Mappings in, Quarterly Mathematics. , 16( 1)(200 1),46-5 1.

19. Xu Zhicai, Xu Senlin, Real Hypersurfaces in Quaternary Hyperbolic Spaces, Acta Mathematica, 2 1 (4 )( 200 1), 447-450.

20. Xu Zhicai, Xu Senlin, CR Submanifolds in Almost Hermitian Manifolds, Mathematical Quarterly, 16 (3 )( 200 1).

2 1. Xu Zhicai, Xu Senlin, application, practice and mathematical understanding of quadric surface theory, 3 1 (6 )( 200 1)

22. Pseudoumbilical Surface and Gaussian Mapping in R 4, Xu Zhicai, Xu Senlin, Mathematics Quarterly: English Edition,No. 1.

23. Xu Zhicai, Hypersurface of Rotation with Given Principal Curvature Function in Euclidean Space, Journal of Anhui University of Science and Technology, No.3, 2003, 64-66.

24. Xu Zhicai, Hypersurfaces of Rotation with Given Principal Curvature Function in Lorentz-Minkowski Space, Pure Mathematics and Applied Mathematics,No. 1, 2004, June 9.

25. Hypersurfaces of revolution with given principal curvature function in Lorenz-Minkowski space, pure mathematics and applied mathematics, Xu Zhicai and Xu Senlin, 2004.

26. Liu Shixi, Fang Xianwen, Xu Zhicai, Modeling and Analysis of Synchronous DRAM Controller Based on Petri Net, Journal of System Simulation,No. 17 (EI Search) 204-206, 2005.

27. Fang Xianwen, Xu Zhicai, Analysis of Data Parallelism Based on Time Petri Net 1, 2006 International Conference on Parallel Processing and Application (ISTP Search).

28. Xu Zhicai, Xu Senlin, Rotating W Hypersurfaces in Lorentz-Minkowski Space, Pure Mathematics and Applied Mathematics, No.3, 2006, 335-340;

29. Fang Xianwen, Xu Zhicai, Yin Zhixiang, Research on Process-Processor Mapping Based on Petri Net, 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Network and Parallel/Distributed Computing (SNPD, 2007), IEEE Press (EI Search).

30. Fang Xianwen, Xu Zhicai, Yin Zhixiang, Distributed Processing Based on Time Petri Nets, 3rd International Conference on Natural Computing (ICNC 07), IEEE Press (ISTP Search).

3 1. Fang Xianwen, Xu Zhicai, Yin Zhixiang, Research on Data Distribution Management Based on Color Petri Net and Foresight, Computer Engineering and Application, 2007, Vol.43 (24): 97-99 (Chinese core)

32. Fang Xianwen, Xu Zhicai, Zhao Yan, Security Analysis of E-commerce Based on Petri Net and Web, Computer Engineering and Design, 2007, Vol.28 (22): (Chinese core)

33. Liu Shixi, Xu Zhicai, Fang Xianwen. Research on reliability of cluster system based on stochastic Petri net, Computer Engineering and Design, 2008, Volume 29 (24): 6190-6192; (Chinese core)

34. Liu Shixi, Xu Zhicai, Fang Xianwen. Research on the Credibility of Cluster System Based on Stochastic Petri Nets. 2008 International Conference on Computer Science and Software Engineering, Volume 3, 481-485; (EI retrieval)

35. Liu Shixi, Xu Zhicai and Chen Guilin. Research on the credibility of backup system based on stochastic Petri net. 2009 International Conference on Network Security, Wireless, Communication and Trusted Computing (NSWTCTC 2009) vol1,177—181; (EI retrieval)

36. Xu Zhicai, Optimization of Web Service Composition with Independent Glogal Constraint Awareness Based on Genetic Algorithm, 2009 International Conference on Industry and Information Systems, 2009. (EI search)

37. Xu Zhicai, Independent Global Constraint web Service Composition Optimization Based on Color petri Nets, 2009 International Conference on Computational Intelligence and Natural Computing, 2009, (33). (EI search)