16th International Geometry Symposium July 4-7, 2018 Manisa Celal Bayar University, Manisa-TURKEY 16TH INTERNATIONAL GEOMETRY SYMPOSIUM ABSTRACTS BOOK 1 16th International Geometry Symposium July 4-7, 2018 Manisa Celal Bayar University, Manisa-TURKEY Proceedings of the 16th International Geometry Symposium Edited By: Prof. Dr. Mustafa KAZAZ Res. Assist. Dr. Burak ŞAHİNER Res. Assist. Onur KAYA E-published by: Manisa Celal Bayar University All rights reserved. No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means or whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder. Authors of papers in these proceedings are authorized to use their own material freely. Applications for the copyright holder’s written permission to reproduce any part of this publication should be addressed to: Prof. Dr. Mustafa KAZAZ Manisa Celal Bayar University [email protected] 2 16th International Geometry Symposium July 4-7, 2018 Manisa Celal Bayar University, Manisa-TURKEY Proceedings of the 16th International Geometry Symposium July 4-7, 2018 Manisa, Turkey Jointly Organized By Manisa Celal Bayar University 3 16th International Geometry Symposium July 4-7, 2018 Manisa Celal Bayar University, Manisa-TURKEY FOREWORD Hosted by Manisa Celal Bayar University between July 4-7, 2018, the 16th International Geometry Symposium was held in Manisa, a city of learning throughout history. Undergraduate students aiming to do scholarly studies as well as new researchers had a great opportunity of getting together with highly experienced researchers. In light of scientific developments in Geometry, presentations were made, and discussions were held, thus paving the way for new research. All the studies in this booklet were peer-reviewed, and then brought up to the attention of the audience. Through their presentations, the keynote speakers helped the researchers explore some new ways of thinking. In making our event happen, special thanks go to the following: Office of the Rector of Manisa Celal Bayar University for letting us use its facilities, office of the Governor of Manisa, Yunusemre Municipality, Şehzadeler Municipality, TÜBİTAK (2223-B), Ziraat Bankası A.Ş., Pegem Akademi and all our collagues and students who worked with us to make this symposium a success. Prof. Dr. Mustafa KAZAZ Head of the Organizing Committee 4 16th International Geometry Symposium July 4-7, 2018 Manisa Celal Bayar University, Manisa-TURKEY TABLE OF CONTENTS Committees............................................................................................................................... 15 Invited Speakers ....................................................................................................................... 21 Modern Topics in The Geometry of Einstein Spaces ........................................................... 22 Some Characterization Theorems for Lightlike Hypersurfaces of Semi-Riemannian Manifolds Admitting A Semi-Symmetric Non-Metric Connection ..................................... 23 Branched Covering Surfaces ................................................................................................ 24 The Principle of Transference Between Real and Dual Lorentzian Spaces and Dual Lorentzian Angles ................................................................................................................. 25 Split Quaternions and Hyperbolic Spinor Representation of Transformations .................... 26 Abstracts of Oral Presentations ................................................................................................ 28 Geometric Characterization of Surfaces on Time Scales ..................................................... 29 Curvatures of Clusters in Complex Networks ...................................................................... 30 The Weighted Ricci Curvature and Compactness on Finsler Manifolds ............................. 31 Horizontal Lifts of Vector Fields to the Semi-tensor Bundle ............................................... 33 Diagonal Lift Problems in the Semi-tangent Bundle ............................................................ 35 Semi-Tensor Bundle and the Complete Lift of Vector Fields .............................................. 36 A Study on Mannheim Offsets of Ruled Surfaces ............................................................... 37 Inverse of Dual Quaternion Matrices and Matlab Applications ........................................... 39 Determinant of Dual Quaternion Matrices and Matlab Applications ................................... 40 Reidemeister Torsion of Orientable Punctured Surfaces...................................................... 41 Moving Coordinate System and Euler-Savary Formula under One-Parameter Planar Homothetic Motions in Generalized Complex Number Plane C j ....................................... 42 Pythagorean Hodograph λ μ - Bezier Like Curve with Two Shape Parameters .................. 46 Cheng-Yau Operator and Gauss Map of Rotational Hypersurfaces in the Four Dimensional Euclidean Space .................................................................................................................... 48 Helicoidal Hypersurfaces in the Four Dimensional Minkowski Space ................................ 50 Surface Growth Kinematics in Galilean Space .................................................................... 52 Möbius-Type Hypersurface in 4-Space ................................................................................ 53 Mappings for Generating Rational Helices .......................................................................... 55 A Note on Isometric Immersions into × 45T .................................................................... 56 On Geodesics of the Tangent and Normal Surfacesℝ Defined by TN-Smarandache Curve According to Frenet Frame ................................................................................................... 57 Some Properties of Bicomplex Tribonacci and Tribonacci-Lucas Numbers ....................... 58 5 16th International Geometry Symposium July 4-7, 2018 Manisa Celal Bayar University, Manisa-TURKEY Real Matrix Representations for Tessarine Numbers ........................................................... 59 Some Characterizations for Ruled Surface Pair Generated by Natural Lift Curve in Dual Space ..................................................................................................................................... 60 Approximating the Definite Integral Computation: A Novel Method ................................. 61 Spherical Bézier Curves and Ruled Surfaces ....................................................................... 62 Recent Developments on Magnetic Curves .......................................................................... 64 Conformal Riemannian Maps in Complex Geometry .......................................................... 65 On Grassmann Images of Rotational Surfaces in E⁴ ............................................................ 66 On Rotational Submanifolds in Euclidean Spaces ............................................................... 67 A Study of Wintgen Like Inequality for Submanifolds in Statistical Warped Product Manifolds .............................................................................................................................. 68 Yamabe Solitons on Three-Dimensional Normal Almost Paracontact Metric Manifolds ... 69 Almost Cosymplectic Statistical Manifolds ......................................................................... 70 The Golden Ratio and Finite Blaschke Products of Degree Two and Three ....................... 71 Similar Cartan Null Curves in Minkowski 4-space with Variable Transformations ........... 72 On the Special Geometry of Calabi-Yau Moduli Spaces ..................................................... 73 Euclidean Curves with Incompressiable Canonical Vector Fields ....................................... 74 Differential Equations for a Space Curve According to the Unit Darboux Vector .............. 75 On a Class of Slant Curves in S-Manifolds .......................................................................... 76 Mixed Totally Geodesic Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds .............................................................................................................................................. 77 On the Normality Conditions of Almost Kenmotsu Finsler Structures on Vector Bundles. 78 On the Curvatures of Indefinite Kenmotsu Finsler Manifolds ............................................. 79 Sasakian Lorentzian Structures on Indefinite Finsler Manifolds ......................................... 80 Contact CR-Submanifolds in Spheres .................................................................................. 81 Contact Pseudo-Metric Structures on Indefinite Finsler Manifolds ..................................... 82 -Sasakian Structures on Indefinite Finsler Manifolds ........................................................ 83 The Motivation for the Space-Like Surface of Constant Breadth ........................................ 84 Intrinsic Equations for a Generalized Relaxed Elastic Line Due to the B-Darboux Frame of Space-Like Curve on a Surface in the Minkowski 3-Space ................................................. 86 Intrinsic Equations for a Generalized Relaxed