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This book presents the previously unpublished notes from a series of lectures given by the author at the Tata Institute of Fundamental Research in ...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

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a...

This textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergra...

From Bäcklund to Darboux, this monograph presents a comprehensive journey through the transformation theory of constrained Willmore surfaces, a top...

Based on a two-semester course aimed at illustrating various interactions of pure mathematics with other sciences, such as hydrodynamics, thermodyn...

This extensive selection of William Fellers scientific papers shows the breadth of his oeuvre as well as the historical development of his scientif...

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boun...

Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treati...

Since the second half of the 20th century, the Riemannian and semi-Riemannian geometries have been active areas of research in di?erential geometry...

This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narr...

The generalized Ricci flow is a geometric evolution equation which has recently emerged from investigations into mathematical physics, Hitchin's ge...

L'opera fornisce una introduzione alla geometria delle varietà differenziabili, illustrandone le principali proprietà e descrivendo le principali t...

While Eugenio Calabi is best known for his contributions to the theory of Calabi-Yau manifolds, this Steele-Prize-winning geometers fundamental con...

This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano...

Noncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses on cycli...

Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern Physics. The main characters...

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian ...

This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry. Through an in-depth analysi...

The book deals with some questions related to the boundary problem in complex geometry and CR geometry. After a brief introduction summarizing the ...

Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make availa...