Professor, Ankara University , Turkey.
Yusuf Yaylı is a distinguished Professor of Mathematics at Ankara University, specializing in geometry, differential geometry, and mathematical physics. He is known for his contributions to the study of slant helices, quaternionic algebra, and magnetic curves in various geometric spaces. With a prolific publication record, he has made significant advances in applied mathematics and geometry. Prof. Yaylı’s work has been widely cited and continues to influence the academic community, particularly in the areas of differential geometry and mathematical physics. His academic career has been enriched by numerous collaborations, enhancing the scope of mathematical research and education.
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Education:
Prof. Yusuf Yaylı obtained his doctorate in Mathematics from Gazi University, Turkey, in 1989, after completing his postgraduate studies at the same institution. He holds a bachelor’s degree in Mathematics from Inonu University. His doctoral dissertation, “Hamiltonian Movements and Lie Groups,” formed the basis for his continued research in geometry. Prof. Yaylı’s academic background laid a strong foundation for his future contributions to the field, particularly in differential and Riemannian geometry. He has been dedicated to academic excellence, as seen through his extensive teaching and research career.
Experience:
Prof. Yusuf Yaylı’s academic journey spans decades, with roles including Assistant Professor, Associate Professor, and ultimately Professor at Ankara University’s Department of Mathematics. His research has centered on geometry, differential equations, and mathematical physics, and he has taught a wide range of courses at both undergraduate and doctoral levels. He also currently serves as the Director of the Kızılcahamam Health Services Vocational School at Ankara University. Prof. Yaylı’s experience extends beyond teaching, as he has contributed to various mathematical conferences, research groups, and collaborative projects worldwide.
Awards and Honors:
Prof. Yusuf Yaylı has earned recognition for his groundbreaking research in geometry and mathematical physics. His work has been extensively cited in leading academic journals. He has received multiple academic honors for his contributions, including being a key figure in the development of research in differential geometry. While specific awards are not listed, his ongoing influence in mathematics, as evidenced by his extensive publication record and academic roles, reflects his significant impact in the mathematical community.
Research Focus:
Prof. Yaylı’s research primarily focuses on differential geometry, mathematical physics, and quaternionic algebra. He has made substantial contributions to the understanding of slant helices, magnetic curves, and quaternionic properties in various geometric spaces. His work explores the applications of geometry in both theoretical and practical contexts, including Riemannian and semi-Riemannian manifolds. Prof. Yaylı is also interested in the geometry of Lie groups, screw motions in Minkowski spaces, and the study of precession curves in 3D spaces, contributing to a broader understanding of geometric phenomena.
Publications:
- “On slant helix and its spherical indicatrix” 📄
- “Characterizations of slant helices in Euclidean 3-space” 📄
- “Split quaternions and rotations in semi-Euclidean space E42” 📄
- “A new approach on curves of constant precession” 📄
- “A new approach for magnetic curves in 3D Riemannian manifolds” 📄
- “Generalized quaternions and their algebraic properties” 📄
- “The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres” 📄
- “Slant helices in three-dimensional Lie groups” 📄
- “Tubes with Darboux frame” 📄
- “Notes on magnetic curves in 3D semi-Riemannian manifolds” 📄
- “Canal surfaces with quaternions” 📄
- “Laplace-Beltrami operator of a helicoidal hypersurface in four-space” 📄
- “On isophote curves and their characterizations” 📄
- “Parallel transport frame in 4-dimensional Euclidean space” 📄
- “An application of -Bishop frame to spherical images for direction curves” 📄
- “On Darboux helices in Euclidean 3-space” 📄
- “On Mannheim partner curve in dual space” 📄
- “Dual split quaternions and screw motion in Minkowski 3-space” 📄
- “Homothetic motions at E4” 📄
- “On the geodesics of tubular surfaces in Minkowski 3-space” 📄
Conclusion:
Prof. Yusuf Yaylı is a highly respected mathematician, known for his extensive contributions to geometry and mathematical physics. His research continues to influence multiple fields, from differential geometry to the application of quaternions in various mathematical models. With a career spanning several decades, his impact is felt both in academia and beyond, particularly in the development of new methodologies in mathematics. Prof. Yaylı’s work is a valuable resource for the next generation of mathematicians and researchers.