Differential Geometry, Algebra, and Analysis

This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the Department of Mathematics, Jamia Millia Islamia, New Delhi, from 1517 November 2016. It covers a wide range of topicsgeometry of submanifolds, geometry of statistical submanifolds, ring theory, module theory, optimization theory, and approximation theorywhich exhibit new ideas and methodologies for current research in differential geometry, algebra and analysis. Providing new results with rigorous proofs, this book is, therefore, of much interest to readers who wish to learn new techniques in these areas of mathematics.

Provides new results with rigorous proofs and tools needed for the successful applications Gives new techniques and methodologies for current research in different branches of mathematics Contained results can be applied to different branches of science such as image processing, remote sensing, dynamics in physics, analysis of nonlinear phenomenon, optimization theory, and many others

Auteur
MOHAMMAD HASAN SHAHID is Professor at the Department of Mathematics, Jamia Millia Islamia, New Delhi, India. Earlier, he served as Associate Professor at King Abdul Aziz University, Jeddah, Saudi Arabia, from 2001-2006. He earned his Ph.D. in Mathematics from Aligarh Muslim University on the topic "On geometry of submanifolds" in 1988 under (Late) Professor Izhar Husain. He was one the recipients of post-doctoral fellowship from the University of Patras, Greece, during October 1997 to April 1998. He has published more than 100 research articles in various national and international journals of repute. Recently, he was awarded the Sultana Nahar Distinguished Teacher award of the Year 2017-2018 for his outstanding contribution in research.

MOHAMMAD ASHRAF is Professor at theDepartment of Mathematics, Aligarh Muslim University, Aligarh, India. He has authoredmore than 200 research publications in various branches of Mathematics such as ring theory, coding theory and graph theory. Professor Ashraf received his Ph.D. in Mathematics from Aligarh Muslim University, Aligarh, India, in the year 1986.

FALLEH R. AL-SOLAMY is Professor of Differential Geometry at King Abdul Aziz University, Jeddah, Saudi Arabia. He studied mathematics at King Abdul Aziz University, Jeddah, Saudi Arabia and earned his Ph.D. in Mathematics from the University of Wales Swansea, Swansea, United Kingdom, in 1998, under Edwin Beggs. His research interests concern the study of the geometry of submanifolds in Riemannian and semi-Riemannian manifolds, Einstein manifolds, applications of differential geometry in physics. Co-author of a book, Prof. Al-Solamy's research papers have been published in journals and conference proceedings of repute. He is a member of the London Mathematical Society, the Institute of Physics, the Saudi Association for Mathematical Sciences, the Tensor Society of India, the Saudi Computer Society and the American Mathematical Society.

YASUNORI KIMURA is Professor at the Department of Information Science, Faculty of Science,Toho University, Chiba, Japan. He was awarded with a Ph.D. in the year 2000 from the Tokyo Institute of Technology, Japan. He has authored three books and published about 100 research articles in various international and national journals of repute. His area of research is nonlinear analysis and set-valued analysis.

GABRIEL EDUARD VÎLCU is Professor of Mathematics at the Petroleum-Gas University of Ploie ti, Romania. He received his Ph.D. in Mathematics from the University of Bucharest, Romania, in the year 2007. Additionally, he is a senior researcher at the Research Centre in Geometry, Topology and Algebra, Faculty of Mathematics and Computer Science, University of Bucharest, Romania. His main research interest is differential geometry and its applications. Professor Vîlcu has authored more than 60 peer-reviewed scientific publications in several renowned international journals and conference proceedings.

Contenu

Part 1 - Differential Geometry: S. Suzuki and Y. Matsuyama, On complete minimal submanifolds in a sphere.- M. Belkhelfa and F. Z. Kadi, The study of Ricci semi symmetry of normal complex contact manifold .- R. Sachdeva, R. Kumar and S. S. Bhatia, Warped product slant lightlike submanifolds of indefinite Kaehler manifolds.- S. Pandey, R. Prasad and S. K. Verma, Concircular curvature tensor's properties on Lorentzian para-Sasakian manifolds.- Mohd. Aquib, F. R. Al-Solamy, M. Jamali, M. T. Aldossary and M. N. Boyom.- Inequalities for statistical submanifolds in Sasakian statistical manifolds.- J. Roy, L. I. Piscoran, S. K. Hui, Certain classes of warped product submanifolds of Sasakian manifolds and applications.- M. Ahmad, Jae-Bok Jun and M. A. Qayyoom, Hypersurfaces of a metallic Riemannian manifold.- M. S. Lone, Willmore surfaces in three dimensional simply isotropic spaces.- Part 2 Algebra: Luisa Cairini, Vincezo De Filippis and G. Scudo, Product of generalized derivations having commuting values on lie ideals.- C. Haetinger, M. Ashraf and M. A. Siddeeque, Some extensions theorems in the ring of quotients of -prime rings.- M. Issoual and N. Mahdo, Rings in which every 2-absobing ideal is prime.- N. Ur Rehman, M. A. Raza and M. R. Mozumder, A note on skew-commutators with derivations on ideals.- N. Dehghani and M. R. Vedadi, A brief survey on semiprime and weakly compressible modules.- H. Alhazmi, S. Ali, A. Abbasi and M. R. Mozumder, On commutativity of prime rings with involution involving pair of Derivations.- *Part 3 Analysis: T. Ibaraki, S. Kajiba, and Y. Kimura, Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space.- Y. Kimura, Convex minimization problems on geodesic spaces and the shrinking projection method with errors.- T. Kawasaki, An extension of integrals.- D. Kaur and R.K. Mohanty, A higher-order finite difference method for numerical solution of the Kuramoto-Sivashinsky equation.- B. Kaur, An extension of the Robe's problem.- N. Rao, A. Wafi and S. Khatoon, Better rate of convergence by modified Integral type operators.- R. Gandhi, S. K. Sharma and B. S. Komal, Generalized composition operators and Evaluation Kernel on weighted Hardy space.- R. Ali and M. Shahzad, Common solution to generalized general variational-like inequality and hierarchical fixed point problems. <p