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e-Book semiparallel submanifolds in space forms (Springer Seri) download

e-Book semiparallel submanifolds in space forms (Springer Seri) download

by A.B. Burns,E.B. Stechel,D.R. Jennison

ISBN: 038756473X
ISBN13: 978-0387564739
Language: English
Publisher: Springer-Verlag (July 1993)
Category: Chemistry
Subategory: Math Science

ePub size: 1797 kb
Fb2 size: 1445 kb
DJVU size: 1575 kb
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A submanifold M of a Riemannian manifold M is said to be parallel if the second fundamental form of is parallel. For example, an affine subspace M of IRm or a symmetric R-space M ∈ ℝm

A submanifold M of a Riemannian manifold M is said to be parallel if the second fundamental form of is parallel Part of the Progress in Mathematics book series (PM, volume 14). Abstract. A submanifold M of a Riemannian manifold M is said to be parallel if the second fundamental form of ( overline M ) is parallel. For example, an affine subspace M of IRm or a symmetric R-space M ∈ ℝm, which is minimally imbedded in a hypersphere of IRm (cf. Takeuchi-Kobayashi ), is a parallel submanifold of IRm.

This book offers a comprehensive survey to date of the theory of semiparallel submanifolds. The author begins with the necessary background on symmetric and semisymmetric Riemannian manifolds, smooth manifolds in space forms, and parallel submanifolds. Semiparallel submanifolds are introduced in Chapter 4, where characterizations of their class and several subclasses are given.

Dillen, F 1991Semi-parallel hypersurfaces of a real space formIsrael J thSciNetGoogle .

Dillen, F 1991Semi-parallel hypersurfaces of a real space formIsrael J thSciNetGoogle Scholar. Dillen, F, Vrancken, L 1990 C-Totally real submanifolds of Sasakian space formsJ Math Pures SciNetGoogle Scholar. Ludden, GD, Okumura, M, Yano, K 1977Anti-invariant submanifolds of almost contact metric manifoldsMath MathSciNetGoogle Scholar.

We show that a semi-parallel hypersurface of a sphere and a hyperbolic space is. .

We show that a semi-parallel hypersurface of a sphere and a hyperbolic space is either flat, parallel or a rotation hypersurface whose profile curve is a helix. to appear)Google Scholar. D. Ferus,Immersions with parallel second fundamental form, Math. M. Takeuchi,Parallel Submanifolds of Space Forms, Manifolds and Lie Groups, Papers in honor of Yozô Matsushima, Birkhaüser, Basel, 1981, p. 29–447.

parallel submanifold Möbius second fundamental form umbilic-free . Authors and Affiliations.

parallel submanifold Möbius second fundamental form umbilic-free submanifold Blaschke tensor. This project was supported by NSF of China, Grant Numbers 11371330 and 11771404. Mathematics Subject Classification. Primary 53A30 Secondary 53B25. Takeuchi, . Parallel submanifolds of space forms, Manifolds and Lie groups, In honor of Y. Matsushima (J. Hano et a. ed., Birkhäuser, Boston (1981), pp. 429–447Google Scholar. Möbius geometry of submanifolds in (mathbb{S}^n).

This is a nice book concerning submanifolds of space forms with semiparallel second fundamental for.Constantin Calin, Zentralblatt MATH, Vol. 1156, 2009). This monograph represents a comprehensive survey and a fine contribution of the author on the topic of semiparallel submanifold.

The k-parallel submanifolds in space forms are also described in the chapter. If a submanifold is intrinsically complete and if the role of a normal neighbourhood can be taken by the submanifold itself, it is said to have extrinsic (global) symmetry. Submanifolds with parallel fundamental form, in: Handbook of Differential Geometry. U. Lumiste, Submanifolds with parallel fundamental form, in: Handbook of Differential Geometry, vol. 1, Elsevier Science . Amsterdam, 2000, pp. 779–864. Pseudo-parallel submanifolds of a space form.

The book then introduces semiparallel submanifolds and gives some characterizations for their class as well as several subclasses

The book then introduces semiparallel submanifolds and gives some characterizations for their class as well as several subclasses. The coverage moves on to discuss the concept of main symmetric orbit and presents all known results concerning umbilic-like main symmetric orbits. With more than 40 published papers under his belt on the subject, Lumiste provides readers with the most authoritative treatment. Quite simply, this book offers the most comprehensive survey to date of the theory of semiparallel submanifolds.

Pseudo-parallel immersions into space forms are defined as extrinsic analogues of.

Pseudo-parallel immersions into space forms are defined as extrinsic analogues of pseudo-symmetric manifolds (in the sense of R. Deszcz) and as a direct generalization of semi- parallel immersions. In this paper we obtain a description of pseudo-parallel hypersurfaces of a space form as quasi-umbilic hypersurfaces or cyclids of Dupin. oceedings{allelSO, title {Pseudo-parallel submanifolds of a space form}, author {Antonio Carlos Asperti and Guillermo Antonio Lobos and Francesco Mercuri}, year {2001} }.

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