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Explore the definitive guide to semiparallel submanifolds in space forms with ‘SEMIPARALLEL SUBMANIFOLDS IN SPACE FORMS’ from Springer Monographs in Mathematics. This comprehensive survey, authored by Lumiste, a leading expert with over 40 publications on the topic, covers essential background material including symmetric and semisymmetric Riemannian manifolds, and parallel submanifolds. It delves into the theory of semiparallel submanifolds, providing crucial characterizations and exploring various subclasses. Discover the concept of main symmetric orbit and examine all known results regarding umbilic-like main symmetric orbits. This authoritative text is an indispensable resource for mathematicians and researchers seeking an in-depth understanding of this specialized area of geometry. Perfect for academic libraries and advanced study.
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