Results 151 to 160 of about 462,161 (175)
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1998
In Part 2 we consider the following classes of submanifolds having generators or foliations: ruled submanifolds, (strongly) parabolic submanifolds, k-saddle submanifolds and submanifolds with nonpositive extrinsic curvature. Thus we recall some necessary facts and formulas from the theory of submanifolds [Ch 1–3], [KN], [AkG].
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In Part 2 we consider the following classes of submanifolds having generators or foliations: ruled submanifolds, (strongly) parabolic submanifolds, k-saddle submanifolds and submanifolds with nonpositive extrinsic curvature. Thus we recall some necessary facts and formulas from the theory of submanifolds [Ch 1–3], [KN], [AkG].
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On Formal Maps Between Generic Submanifolds in Complex Space
Journal of Geometric Analysis, 2009 Let H:(M,p)->(M',p') be a formal mapping between two germs of real-analytic generic submanifolds in C^N with nonvanishing Jacobian. Assuming M to be minimal at p and M' holomorphically nondegenerate at p', we prove the convergence of the mapping H.
Sunyé, Jean-Charles
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RESIDUES OF HOLOMORPHIC FOLIATIONS RELATIVE TO A GENERAL SUBMANIFOLD
Bulletin of the London Mathematical Society, 2005Since the celebrated result of \textit{P. Baum} and \textit{R. Bott} [J. Differ. Geom. 7, 279--342 (1972; Zbl 0268.57011)], residue theorems have become an essential analytical tool in the study of complex (possibly singular) foliations. They are used, for example, in the study and classification of foliations of complex compact surfaces, as well as ...
Camacho, César, Lehmann, Daniel
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Generic submanifolds of generalized complex space forms
Publicationes Mathematicae Debrecen, 1997The first part of the paper gives a survey of submanifold theory of almost Hermitian manifolds. The results of the paper provide a better understanding of generic submanifolds of complex space forms. A necessary and sufficient condition for the integrability of a totally real distribution is given.
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Isotropic submanifolds generated by the Maximum Entropy Principle
AIP Conference Proceedings, 2004We show that the Maximum Entropy Principle (E.T. Jaynes), when considered as a constrained extremization problem, has a natural description in terms of Morse Families of an isotropic (Lagrangian in the finite dimensional case) submanifold of an infinite‐dimensional linear symplectic space.
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Screen Generic Lightlike Submanifolds of Indefinite Sasakian Manifolds
Mediterranean Journal of Mathematics, 2020Ram Shankar Gupta
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On ‘type’ conditions for generic real submanifolds of ℂn
Inventiones Mathematicae, 1977Thomas Bloom
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