This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop ‘Differential Geometric Structures and Applications’ held in Haifa, Israel from May 10–13, 2023. The papers included in this volume showcase the latest advancements in modern geometry and interdisciplinary applications in fields ranging from mathematical physics to biology.
Since 2008, this workshop series has provided a platform for researchers in pure and applied mathematics, including students, to engage in discussions and explore the frontiers of modern geometry. Previous workshops in the series have focused on topics such as ‘Reconstruction of Geometrical Objects Using Symbolic Computations’ (2008), ‘Geometry and Symbolic Computations’ (2013), and ‘Geometric Structures and Interdisciplinary Applications’ (2018).
สารบัญ
1.Some topics in Sasakian geometry, a survey ( A. Tralle).- 2.Einstein-type metrics and Ricci-type solitons on weak f-K-contact (V. Rovenski).- 3.Weak β-Kenmotsu manifolds and η-Ricci solitons (D.S. Patra, V. Rovenski).- 4.Twistor bundles of foliated Riemannian manifolds (R. Mohseni and R. Wolak).- 5.Mixed 3-Sasakian statistical manifolds and statistical submersions (C.D. Neac¸su).- 6.Minimal unit vector fields on oscillator groups (A. Yampolsky).- 7.Growth and structure of equicontinuous foliated spaces (M.F. Moreira).- 8.Lichnerowicz-type Laplacians in the Bochner technique (V. Rovenski, S. Stepanov and I. Tsyganok).- 9.On general solutions of Sinyukov equations on two-dimensional equidistant (pseudo-)Riemannian spaces (P. Peˇska, L. V´ıtkov´a, J. Mikeˇs and I. Kuzmina).- 10.Fundamental equations on conformal Fedosov spaces (C. Almazbekov, N. Guseva and J. Mikeˇs).- 11.Rotary mappings of equidistant spaces (L. V´ıtkov´a).- 12.Smith-Gysin sequence (J.I.R. Prieto, M. Saralegi-Aranguren, and R. Wolak) .- 13.An Ay-Lˆe-Jost-Schwachh¨ofer type characterization of quantitatively weakly sufficient statistics (K. Yamaguchi and H. Nozawa).- 14.Lower bounds for high derivatives of smooth functions with given zeros (G. Goldman and Y. Yomdin).- 15.Interactions between differential geometry and production theory (A.D. Vˆılcu and G.E. Vˆılcu).- 16.A Lagrangian program detecting the weighted Fermat-Steiner-Fr´echet multitree for a Fr´echet N-multisimplex in Euclidean N-space (A.N Zachos).
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Vladimir Rovenski is a Professor at the University of Haifa, Israel. He holds a Ph D in Mathematics from the Russian Academy of Sciences (1994). His research interests lie in differential geometry, submanifolds, foliations, and applied mathematics.
Pawel Walczak is a Professor at the University of Lodz, Poland. He holds a Ph D from the Polish Academy of Sciences (1974). His research focuses on differential geometry, foliations, and generalized dynamical systems.
Robert Wolak is an Associate Professor at the Institute of Mathematics of Jagiellonian University, Poland. He holds a Ph D in Mathematical Sciences from Jagiellonian University (1982). He does research in differential geometry, foliation theory, and differential topology.
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