Differential & Riemannian Geometry

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of ...

This volume consists of several papers written by the main participants of the 7th International Colloquium on Differential Geometry and its Relate...

This monograph presents the geometric foundations of continuum mechanics. An emphasis is placed on increasing the generality and elegance of the th...

This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis ...

The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch th...

This book presents the previously unpublished notes from a series of lectures given by the author at the Tata Institute of Fundamental Research in ...

This book contains all research papers published by the distinguished Brazilian mathematician Elon Lima. It includes the papers from his PhD thesis...

This book, Dierential Geometry: Manifolds, Bundles and Characteristic Classes (Book I-A), is the rst in a captivating series of four books presenti...

From the preface: Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one ...

This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern disc...

This textbook, based on a one-semester course taught several times by the authors, provides a self-contained, comprehensive yet concise introductio...

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE. It asks for the number of geomet...

This book presents a single geometric language for the fundamental physics that has been discovered from the beginning of the twentieth century to ...

This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their elements as matrix arrays. Classic...

This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinator...

This book serves as a friendly stepping stone for readers who wish to start learning differential geometry. It lays down the most essential foundat...

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress o...

This textbook offers a different approach to classical textbooks in Differential Geometry. It includes practical examples and over 300 advanced pro...

This book presents a concise introduction to differential geometry. It is aimed at advanced undergraduate students and first year graduate students...

This book presents a concise introduction to differential geometry. It is aimed at advanced undergraduate students and first year graduate students...

This textbook offers a rigorous introduction to the foundations of Riemannian Geometry, with a detailed treatment of homogeneous and symmetric spac...

Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their funda...

This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Gugg...