Professor, Ankara University, Turkey
Prof. Yusuf Yaylı is a distinguished mathematician specializing in differential geometry and its applications. With decades of academic experience, he has made significant contributions to the field of geometry, particularly in Lie groups, quaternions, and kinematics. Currently serving as a Professor at Ankara University, Turkey, he has been actively engaged in research, teaching, and academic leadership. His works are widely recognized in international journals, and he has collaborated with leading researchers worldwide.
Publication Profile
🎓 Education
Prof. Yaylı earned his Doctorate in Mathematics from Gazi University, Turkey, where he focused on Hamiltonian motions and Lie groups. He completed his postgraduate studies at the same university, with research on the kinematic application of the Cayley formula. His academic journey began with an undergraduate degree in Mathematics from İnönü University. His extensive education has provided him with a strong foundation for his research in geometry.
💼 Experience
Prof. Yaylı has been a faculty member at Ankara University’s Mathematics Department since 1990, progressing through ranks from Assistant Professor to Professor in 2001. He has also held administrative roles, including serving as the Director of the Kızılcahamam Vocational School of Health Services. His academic influence extends beyond teaching, as he has mentored numerous researchers and contributed significantly to mathematical literature.
🏆 Awards and Honors
Recognized for his scholarly achievements, Prof. Yaylı has received various awards and honors throughout his career. His publications in high-impact journals and numerous citations reflect his influence in the field of differential geometry. He has been acknowledged for his contributions to academia through various research grants and institutional recognitions.
🔬 Research Focus
Prof. Yaylı’s research primarily revolves around differential geometry, quaternions, kinematics, and Lie groups. His work has expanded the understanding of geometric structures, including slant helices, magnetic curves, and generalized quaternions. His studies on matrix-based generalizations of the Pythagorean theorem and geometric applications of umbrella matrices have been instrumental in advancing mathematical theories.
📝 Conclusion
Prof. Yusuf Yaylı is a leading researcher in geometry, making significant contributions to academia through his extensive research, publications, and teaching. His dedication to advancing mathematical knowledge continues to impact the global scientific community, inspiring future generations of mathematicians.
📚 Publications
Differential Geometry and Matrix-Based Generalizations of the Pythagorean Theorem in Space Forms (2016) – Applied Mathematics and Computation, cited by 127.
A new approach on curves of constant precession (2016) – Applied Mathematics and Computation, cited by 127.
A new approach for magnetic curves in 3D Riemannian manifolds (2014) – Journal of Mathematical Physics, cited by 84.
Generalized quaternions and their algebraic properties (2015) – Commun. Fac. Sci. Univ. Ank. Series A1, cited by 73.
The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres (2002) – Mathematical Proceedings of the Royal Irish Academy, cited by 68.
Slant helices in three-dimensional Lie groups (2013) – Applied Mathematics and Computation, cited by 60.
Tubes with Darboux frame (2012) – Int. J. Contemp. Math. Sci, cited by 58.
Notes on magnetic curves in 3D semi-Riemannian manifolds (2015) – Turkish Journal of Mathematics, cited by 57.
Canal surfaces with quaternions (2016) – Advances in Applied Clifford Algebras, cited by 55.
Laplace-Beltrami operator of a helicoidal hypersurface in four-space – Geometry of Umbrella Matrices in Galilean Space, 2025.