2024 4TH INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING AND STATISTICS APPLICATION

Invited Speakers

 

Prof. Lu: School of Software, Nanchang Hangkong University, China

Research Interests: Biometric Feature (palm print, palm vein, face, etc.) Recognition, Biometric Template Protection, Computer Vision

LU LENG received his Ph.D degree from Southwest Jiaotong University, Chengdu, P. R. China, in 2012. He performed his postdoctoral research at Yonsei University, Seoul, South Korea, and Nanjing University of Aeronautics and Astronautics, Nanjing, P. R. China. He was a visiting scholar at West Virginia University, USA, and Yonsei University, South Korea. Currently, he is a full professor at Nanchang Hangkong University. Prof. Leng has published more than 100 international journal and conference papers, including about 60 SCI papers and three highly cited papers. He has been granted several scholarships and funding projects, including five projects supported by National Natural Science Foundation of China (NSFC). He serves as a reviewer of more than 100 international journals and conferences. His research interests include computer vision, biometric template protection and biometric recognition. Prof. Leng is an outstanding representative of "Innovation Talent" of Jiangxi Enterprise in "Science and Technology China" in 2021, received "Jiangxi Youth May Fourth Medal" in 2019, "Jiangxi Hundred-Thousand-Ten-thousand Talent Project" in 2018, "Jiangxi Voyage Project" in 2014, etc.




Prof. Hajime Urakawa: Tohoku University, Japan

Research Interests: Applied Mathematics, Theoretical Numerical Analysis, Theoretical Electrical Engineering, Signal Estimation, Tomography

Prof. Yajun Liu is a full professor in the Professor in the School of Mechanical and Automotive Engineering, South China University of Technology (2016-at pressent). His research interests include Digital signal processing technology and its application in mechanical systems (such as hydraulic System for Energy Saving.); Intelligence control and Manufacturing Engineering. Moreover, Prof. Yajun Liu has published more than 150 papers in Journals and proceedings of international conferences. 35 patents on Mechanical System design and manufacturing.


Prof. Lu: School of Software, Nanchang Hangkong University, China

Research Interests: Biometric Feature (palm print, palm vein, face, etc.) Recognition, Biometric Template Protection, Computer Vision

Prof. Hajime Urakawa graduated at the undergraduate course at Tohoku University and at the master course at Osaka University, and has accomplished his doctoral degree of science at Nagoya University at 1977. He held an appointment at Nagoya Univ. at 1972 as an assistant professor, accepted an offer from Tohoku Univ. at 1978 as an associate professor, and became full professor at Tohoku Univ. since 1992, and professor emeritus and professor at Institute for Intern. Education, Tohoku Univ. since 2010. In 1979, he answered negatively to M. Berger’s problem by giving a family of Riemannian metrics with a fixed volume whose first eigenvalues tend to infinity. In 1982, he answered to M. Kac’s problem by giving two higher dimensional different shaped drums sounding the same tones. In 1988, he settled an equivariant Yang-Mills gauge theory in mathematical physics having an application producing a negative answer to the Atiyah-Jones conjecture. In 1993, he published “Calculus of Variations and Harmonic Maps” (251pages) in the Amer. Math. Soc. As of today, he has published 13 books and more 120 mathematical journal papers cited in Math. Sci. Net., containing more than twenty papers in the recent five years.

Title: Harmonic Maps and Biharmonic Maps between Riemannian Manifolds

Abstract: A harmonic map is a critical point of the energy, half of the integral of square ofthe norm of the derivative of the mapping. This means vanishing of the tension field.The bienergy is defined by the integral of the square norm of the tension field. Thecritical points of the bienergy are biharmonic maps by definition. Harmonic maps arebiharmonic. In 1991, B.Y. Chen asked the reverse (unsolved);Every biharmonicisometric immersion into the Euclidean space must be harmonic.

In this talk, we will give a short survey on our recent results on biharmonic maps:

(i) Every biharmonic map into a Riemannian manifold of non-positive with finiteenergy and finite bienergy is harmonic.

(ii) If the projection of a principal bundle over a Riemannian manifold of non-positivecurvature with finite energy and finite bienergy, is biharmonic, then it is harmonic.

(iii) We characterize the tension field and the bitension field of the Riemanniansubmersion, and as its application, we give an infinite series of the principal circle bundles over the projective space whose projections are biharmonic but not harmonic.

(iv) For a compact Lie group G, let K and H be two compact closed subgroups of G such that  G/K and G/H are symmetric spaces whose involutions are commutative. Then, we show that every K-invariant biharmonic (or minimal) hypersurface in G/Hyields an H-invariant biharmonic (or minimal) hypersurface in G/K, and vice versa.