Contemporary Developments in Differential Geometry

This book presents a collection of fifteen peer-reviewed chapters, exploring the profound impact of geometric methods across multiple scientific fields. Originating from the International Symposium on Differential Geometry and Applications (ISDIGA 2025), the foundational ideas were fostered at a global event hosted by Munzur University in Tunceli, Türkiye.This comprehensive work is designed primarily for researchers, academics, and practitioners in mathematics, theoretical physics, and statistics. Practical models and methods are provided to solve complex problems arising in diverse disciplines. Key theories, including geometric structures on manifolds and surface theory, are highlighted throughout the text.Furthermore, specific technical subjects are thoroughly examined, including generalized quasi-Einstein manifolds and their applications in relativity, rotational surfaces as translating solitons of the inverse mean curvature flow in Minkowski space, and the geometry of normalized null hypersurfaces. Additional chapters provide detailed analyses of Ricci solitons on generalized trans-Sasakian and para-Kenmotsu manifolds, as well as anti-invariant semi-Riemannian submersions.By combining theoretical foundations with real-world applications, a unifying framework for modern science is offered. The gap between pure mathematics and applied sciences is effectively bridged, making this accessible reference an essential and valuable addition to academic and institutional collections worldwide.