Read e-book online Semiparallel Submanifolds in Space Forms: Envelopes of PDF

By Ülo Lumiste

Quite easily, this e-book deals the main accomplished survey so far of the speculation of semiparallel submanifolds. It starts with the required history fabric, detailing symmetric and semisymmetric Riemannian manifolds, delicate manifolds in house types, and parallel submanifolds. The e-book then introduces semiparallel submanifolds and offers a few characterizations for his or her type in addition to numerous subclasses. The insurance strikes directly to speak about the concept that of major symmetric orbit and offers all identified effects referring to umbilic-like major symmetric orbits. With greater than forty released papers lower than his belt at the topic, Lumiste offers readers with the main authoritative treatment.

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Download PDF by Edoardo Sernesi: Deformations of Algebraic Schemes: 334 (Grundlehren der

By Edoardo Sernesi

This account of deformation concept in classical algebraic geometry over an algebraically closed box offers for the 1st time a few effects formerly scattered within the literature, with proofs which are fairly little recognized, but proper to algebraic geometers. Many examples are supplied. lots of the algebraic effects wanted are proved. the fashion of exposition is saved at a degree amenable to graduate scholars with a typical historical past in algebraic geometry.

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