Results 11 to 20 of about 5,895,038 (194)
Local rigidity, symplectic homeomorphisms, and coisotropic submanifolds [PDF]
Bulletin of the London Mathematical Society, 2022 We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locally rigid" with respect to that subset, prove that this notion is invariant under symplectic homeomorphisms, and show that coisotropic submanifolds are distinguished among all smooth submanifolds by the property that all of their points are locally rigid ...
Usher, Michael
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Local Conditions for Triangulating Submanifolds of Euclidean Space [PDF]
Discrete & Computational Geometry, 2020 AbstractWe consider the following setting: suppose that we are given a manifold M in $${\mathbb {R}}^d$$ R d with positive reach. Moreover assume that we have an embedded simplical complex $${\mathcal {A}}$$
Boissonnat, Jean-Daniel +4 more
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Semi-Slant Submanifolds of a Locally Product Manifold [PDF]
gmj, 2005 Abstract In the present paper, we define and study the slant, bi-slant and semi-slant submanifolds of a locally product manifold. We give some characterization theorems for slant submanifolds and semi-slant submanifolds. Moreover, we obtain integrability conditions for the distributions which are involved in the definition of semi-slant ...
Li, Hongxia, Liu, Ximin
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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Localization for Invariant Submanifolds [PDF]
Mathematical Research Letters, 2001 Let \( M \) be a smooth manifold with an equivariant formal circle action and \( W \) an invariant submanifold of \( M \) which does not contain the fixed points of the action. The author presents a new localization theorem which expresses the integration over \( W/S ^1 \) in terms of the integration over the set of fixed points of the action.
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Generic submanifolds of a locally conformal Kaehler manifold‐II [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 A submanifold \(M\) of an almost Hermitian manifold \(\overline {M}\) is called a generic submanifold if its maximal complex subspaces form a differential distribution (cf. [\textit{B. Y. Chen}, Monatsh. Math. 91, 257- 274 (1981; Zbl 0451.53041)]).
M. Hasan Shahid, Kouei Sekigawa
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On submanifolds whose shape operator is unipotent [PDF]
, 2006 The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
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Submanifolds with curvature normals of constant length and the Gauss map [PDF]
, 2004 We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala +3 more
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A Berger type normal holonomy theorem for complex submanifolds [PDF]
, 2010 We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala +5 more
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Reducibility of complex submanifolds of the complex euclidean spaces [PDF]
, 2000 Let M be a simply connected complex submanifold of CN. We prove that M is irreducible, up a totally geodesic factor,if and only if the normal holonomy group acts irreducibly.
Di Scala, Antonio Jose'
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