By S.S. Kutateladze
A.D. Alexandrov's contribution to the sphere of intrinsic geometry used to be unique and intensely influential. this article is a vintage that is still unsurpassed in its readability and scope. It offers his center fabric, initially released in Russian in 1948, starting wth an overview of the most ideas after which exploring different issues, akin to common propositions on an intrinsic metric; angles and curvature; life of a convex polyhedron with prescribed metric; curves on convex surfaces; and the position of particular curvature. this article offers Adefinitive resource for the improvement of intrinsic geometry and is necessary for graduate scholars who need a larger knowing of this topic.
By Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti
Honoring Andrei Agrachev's sixtieth birthday, this quantity offers fresh advances within the interplay among Geometric keep watch over thought and sub-Riemannian geometry. at the one hand, Geometric regulate conception used the differential geometric and Lie algebraic language for learning controllability, movement making plans, stabilizability and optimality for keep an eye on structures. The geometric procedure became out to be fruitful in purposes to robotics, imaginative and prescient modeling, mathematical physics and so forth. however, Riemannian geometry and its generalizations, comparable to sub-Riemannian, Finslerian geometry etc., were actively adopting tools constructed within the scope of geometric keep an eye on. program of those equipment has ended in vital effects relating to geometry of sub-Riemannian areas, regularity of sub-Riemannian distances, homes of the crowd of diffeomorphisms of sub-Riemannian manifolds, neighborhood geometry and equivalence of distributions and sub-Riemannian buildings, regularity of the Hausdorff quantity, etc.
By K. Behrend, C. Gomez, V. Tarasov, G. Tian, P. de Bartolomeis
The publication gathers the lectures given on the C.I.M.E. summer season college "Quantum Cohomology" held in Cetraro (Italy) from June thirtieth to July eighth, 1997. The lectures and the following updating conceal a wide spectrum of the topic at the box, from the algebro-geometric standpoint, to the symplectic process, together with contemporary advancements of string-branes theories and q-hypergeometric features.
By V.V. Gorbatsevich, A.L. Onishchik, E.B. Vinberg, T. Kozlowski
From the reviews: "..., the booklet needs to be of significant aid for a researcher who already has a few inspiration of Lie concept, desires to hire it in his daily learn and/or educating, and desires a resource for accepted reference at the topic. From my perspective, the quantity is completely healthy to function one of these resource, ... more often than not, it's fairly a excitement, after making your self cozy in that favorite place of work armchair of yours, simply to hold the quantity lightly on your arms and read it slowly and thoughtfully; and in any case, what extra in the world can one anticipate of any book?" The New Zealand Mathematical Society Newsletter "... either components are very well written and will be strongly recommended." European Mathematical Society
By A. M. Naveira
Lawsuits of the Intl convention held to honor the sixtieth birthday of A.M. Naveira. convention used to be held July 8-14, 2002 in Valencia, Spain. For graduate scholars and researchers in differential geometry.
By Thomas E. Cecil
Thomas Cecil is a math professor with an unrivalled seize of Lie Sphere Geometry. the following, he offers a transparent and complete sleek remedy of the topic, in addition to its purposes to the research of Euclidean submanifolds. It starts with the development of the distance of spheres, together with the elemental notions of orientated touch, parabolic pencils of spheres, and Lie sphere adjustments. This re-creation includes revised sections on taut submanifolds, compact right Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. thoroughly new fabric on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with 3 and 4 valuable curvatures is usually integrated. the writer surveys the recognized ends up in those fields and shows instructions for additional examine and wider program of the tools of Lie sphere geometry.
By Chao K.C., Robinson R.L. (eds.)
By I. Chavel, H.M. Farkas
Chavel I., Farkas H.M. (eds.) Differential geometry and complicated research (Springer, 1985)(ISBN 354013543X)(236s)