Complex Geometry of Slant Submanifolds

This book provides an up-to-date survey and self-contained chapters on complex slant submanifolds and geometry, authored by renowned researchers. It discusses topics such as slant surfaces, submersions, nearly Kaehler, locally conformal Kaehler, and quaternion Kaehler manifolds. It also includes classification results, new results on slant submanifolds of para-Hermitian manifolds, and conjectures on slant surfaces in complex space forms.

Format: Hardback
Length: 386 pages
Publication date: 12 May 2022
Publisher: Springer Verlag, Singapore

This comprehensive volume offers an up-to-date survey and self-contained chapters on complex slant submanifolds and geometry, authored by renowned researchers from around the world. Covering a wide range of topics, the book delves into slant surfaces, slant submersions, nearly Kaehler, locally conformal Kaehler, and quaternion Kaehler manifolds. It presents several classification results for minimal slant surfaces, quasi-minimal slant surfaces, slant surfaces with parallel mean curvature vector, pseudo-umbilical slant surfaces, and biharmonic and quasi-biharmonic slant surfaces in Lorentzian complex space forms. Furthermore, the book includes groundbreaking new results on slant submanifolds of para-Hermitian manifolds, expanding the understanding of these mathematical structures.

In addition, this volume explores recent developments on slant lightlike submanifolds of indefinite Hermitian manifolds, which hold significant importance in general theory of relativity and have potential applications in radiation and electromagnetic fields. The book also presents a collection of open problems and conjectures on slant surfaces in complex space forms, stimulating further research in this dynamic field. With its detailed information and comprehensive coverage, this book serves as a valuable resource for scientists, educators, and graduate students seeking to advance their knowledge in complex geometry and its applications.

Weight: 764g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811600203
Edition number: 1st ed. 2022