Chen / Choudhary / Khan Geometry of Submanifolds and Applications

1. Auflage 2024
ISBN: 978-981-99-9750-3
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 224 Seiten, eBook

Reihe: Infosys Science Foundation Series

This book features chapters written by renowned scientists from various parts of the world, providing an up-to-date survey of submanifold theory, spanning diverse topics and applications. The book covers a wide range of topics such as Chen–Ricci inequalities in differential geometry, optimal inequalities for Casorati curvatures in quaternion geometry, conformal ?-Ricci–Yamabe solitons, submersion on statistical metallic structure, solitons in f(R, T)-gravity, metric-affine geometry, generalized Wintgen inequalities, tangent bundles, and Lagrangian submanifolds.
Moreover, the book showcases the latest findings on Pythagorean submanifolds and submanifolds of four-dimensional f-manifolds. The chapters in this book delve into numerous problems and conjectures on submanifolds, providing valuable insights for scientists, educators, and graduate students looking to stay updated with the latest developments in the field. With its comprehensive coverage and detailed explanations, this book is an essential resource for anyone interested in submanifold theory.

Zielgruppe

Research

Autoren/Hrsg.

Chen, Bang-Yen

Choudhary, Majid Ali

Khan, Mohammad Nazrul Islam

Inhaltsverzeichnis

Preface

Recent Developments on Chen–Ricci Inequalities in Differential Geometry

Bang-Yen Chen and Adara M. Blaga

Solitons in (, )-Gravity

U. C. De and Krishnendu De

A Survey on Lagrangian Submanifolds of Nearly Kaehler 6-Sphere

Ramesh Sharma

Pythagorean Submanifolds

Muhittin Evren Aydin, Adela Mihai and Cihan Ozgur

On 4-Dimensional Submanifolds of -manifolds

Beldjlali Gherici

Almost Yamabe Solitons on a Total Space of Almost Hermitian Submersions

Tanveer Fatima, Mehmet Akif Akyol and Rakesh Kumar

Generalized Wintgen Inequalities for ()-Para Sasakian Manifold

Majid Ali Choudhary, Lovejoy S. Das, Mohd Danish Siddiqi and Oguz Bahadir

Certain Optimal Inequalities for Casorati Curvatures in Quaternion Geometry

Mohd. Danish Siddiqi, Aliya Naaz Siddiqui and Kamran Ahmad

Gravity and Dark Matter in the Framework of Metric-Affine Geometry

Ghodratallah Fasihi-Ramandi and Vahid Pirhadi

Submersion on Statistical Metallic Structure

Mohit Saxena 

Tangent Bundles Endowed with Quarter-Symmetric Non-Metric ?-Connection on 3-Dimensional Quasi-Sasakian Manifolds

Mohammad Nazrul Islam Khan and Ljubica Velimirovi´c

The Darboux Mate and the Higher-Order Curvatures of Spherical Legendre Curves

Mircea Crasmareanu 

Conformal -Ricci–Yamabe Solitons in the Framework of Riemannian Manifolds

Sudhakar Kumar Chaubey and Abdul Haseeb

Über Autor(innen)

Bang-Yen Chen, a Taiwanese–American mathematician, is University Distinguished Professor Emeritus at Michigan State University, USA, since 2012. He completed his Ph.D. degree at the University of Notre Dame, USA, in 1970, under the supervision of Prof. Tadashi Nagano. He received his M.Sc. degree from National Tsing Hua University, Hsinchu, Taiwan, in 1967, and B.Sc. degree from Tamkang University, Taipei, Taiwan, in 1965. Earlier at Michigan State University, he served as University Distinguished Professor (1990–2012), Full Professor (1976), Associate Professor (1972), and Research Associate (1970–1972). He taught at Tamkang University, Taiwan, from 1966 to 1968, and at National Tsing Hua University, Taiwan, during the academic year 1967–1968.Majid Ali Choudhary is Assistant Professor at the Department of Mathematics at Maulana Azad National Urdu University, Hyderabad, India. In 2014, he received his Ph.D. in Mathematics from Jamia Millia Islamia, India, under the supervision of Prof. Mohammad Hasan Shahid. He was awarded the DST, Government of India’s Inspire Fellowship to pursue a Ph.D. degree. His M.Sc. degree from Jamia Millia Islamia, New Delhi, India, was conferred to him in 2008, and he also won a Gold Medal for securing the first position in the University. His areas of interest include Ricci solitons, Chen–Ricci inequalities, Wintgen inequalities, and inequalities involving Casorati curvatures. He also studies the geometry of submanifolds in Riemannian and semi-Riemannian manifolds. Research publications of him have been appearing in journals of repute.

Mohammad Nazrul Islam Khan is Associate Professor at the Department of Computer Engineering, College of Computer, Qassim University, Saudi Arabia, since 2011. He completed his Ph. D. degree at the University of Lucknow, India, in 2001, under the supervision of Prof. Ram Nivas. He received his M.Sc. degree from the University of Lucknow, India, in 1997. Earlier, he served at Salalah College of Technology, Salalah, Oman, from 2009 to 2011. He taught at Azad Institute of Engineering and Technology, Lucknow, India, as Assistant Professor (2003–2009) and Lecturer (2001–2003) and at Amiruddaula Islamia Degree College, Lucknow, from 1997 to 2001. He has published more than 60 research articles in various national and international journals of repute.