Quite easily, this e-book bargains the main entire survey up to now of the speculation of semiparallel submanifolds. It starts with the mandatory historical past fabric, detailing symmetric and semisymmetric Riemannian manifolds, soft manifolds in area varieties, and parallel submanifolds. The publication then introduces semiparallel submanifolds and provides a few characterizations for his or her type in addition to numerous subclasses. The assurance strikes directly to speak about the idea that of major symmetric orbit and provides all identified effects pertaining to umbilic-like major symmetric orbits. With greater than forty released papers below his belt at the topic, Lumiste offers readers with the main authoritative treatment.
Read Online or Download Semiparallel Submanifolds in Space Forms (Springer Monographs in Mathematics) PDF
Similar Differential Geometry books
This booklet is an exposition of the means of surgical procedure on simply-connected delicate manifolds. Systematic examine of differentiable manifolds utilizing those rules used to be started by means of Milnor  and Wallace  and constructed generally within the final ten years. it truly is now attainable to offer a pretty entire thought of simply-connected manifolds of size ~ five utilizing this procedure and that's what i'm going to attempt to start right here.
Thomas Cecil is a math professor with an unrivalled take hold of of Lie Sphere Geometry. the following, he presents a transparent and finished smooth remedy of the topic, in addition to its functions to the examine of Euclidean submanifolds. It starts off with the development of the gap of spheres, together with the elemental notions of orientated touch, parabolic pencils of spheres, and Lie sphere adjustments.
This distinct monograph by way of a famous UCLA professor examines intimately the maths of Kerr black holes, which own the houses of mass and angular momentum yet hold no electric cost. appropriate for complex undergraduates and graduate scholars of arithmetic, physics, and astronomy in addition to expert physicists, the self-contained therapy constitutes an creation to trendy thoughts in differential geometry.
"Brings to the reader a tremendous quantity of data, good prepared and condensed into lower than 2 hundred pages. " — Mathematical ReviewsIn contemporary many years twistor concept has turn into a massive concentration for college students of mathematical physics. imperative to twistor idea is the geometrical remodel often called the Penrose remodel, named for its groundbreaking developer.
Extra info for Semiparallel Submanifolds in Space Forms (Springer Monographs in Mathematics)