Results 11 to 20 of about 10,201 (226)
HOLONOMY AND SUBMANIFOLD GEOMETRY [PDF]
, 2002 The article is a survey of applications of holonomy techniques to the study of submanifold geometry of spaces of constant curvature. The central tool is the normal holonomy theorem, proved by \textit{C. Olmos} in [Proc. Am. Math. Soc. 110, No. 3, 813--818 (1990; Zbl 0708.53023)].
DI SCALA, ANTONIO JOSE' +2 more
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Automorphisms of Submanifolds [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová +1 more
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Infinitesimal variations of submanifolds [PDF]
Ensaios Matemáticos, 2020 This paper deals with the subject of infinitesimal variations of Euclidean submanifolds with arbitrary dimension and codimension. The main goal is to establish a Fundamental theorem for these geometric objects. Similar to the theory of isometric immersions in Euclidean space, we prove that a system of three equations for a certain pair of tensors are ...
Marcos Dajczer, Miguel Ibieta Jimenez
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Bulletin of the London Mathematical Society, 2006 In what follows we give a quick tour through the field of minimal submanifolds, starting at the definition and the classical results and ending up with current areas of research.
Colding, Tobias H. +1 more
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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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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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Generic submanifolds of a locally conformal Kaehler manifold-II
International Journal of Mathematics and Mathematical Sciences, 1993 The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold.
M. Hasan Shahid, Kouei Sekigawa
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