Differential and Riemannian geometry

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory.

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

The contributions making up this volume are expanded versions of the courses given at the C.

The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent.

The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry.

This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work.

This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday.

This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory.

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry.

In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations.

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds.

This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory.

The volume consists of a set of surveys on geometry in the broad sense.

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

The geometry of Hessian structures is a fascinating emerging field of research.

Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves.

Differential geometry is a mathematical discipline that uses the techniques of differential calculus and integral calculus, as well as linear algebra and multilinear algebra, to study problems in geometry.

This book provides a concrete description of the identity connected components of the real and complex exceptional Lie groups.

This book, Di?

The subject matter in this volume is Schwarz's Lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date.

This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs.

Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe.

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common?

The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective.

Foreword by S S Chern In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds.

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

Differential geometry is a mathematical discipline that uses the techniques of differential calculus and integral calculus, as well as linear algebra and multilinear algebra, to study problems in geometry.

Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously.

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.

Nonabelian multiplicative integration on curves is a classical theory.

A working knowledge of differential forms so strongly illuminates the calculus and its developments that it ought not be too long delayed in the curriculum.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics.

?

In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given.

This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory.

Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory.

This concise and practical textbook presents the essence of the theory on smooth manifolds.

This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry.

This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects.

The original version of this article was written more than fiveyears ago with S.

The title of this book is no surprise for people working in the field of Analytical Mechanics.

.

?