Results 101 to 110 of about 157 (127)
Conformal nullity of isotropic submanifolds [PDF]
Annales Polonici Mathematici, 2005 Summary: We introduce and study submanifolds with extrinsic curvature and second fundamental form related by an inequality that holds for isotropic submanifolds and becomes equality for totally umbilical submanifolds. The dimension of umbilical subspaces and the index of conformal nullity of these submanifolds with low codimension are estimated from ...
Vladimir Y. Rovenskii
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On isotropic submanifolds and evolution of quasicaustics [PDF]
Pacific Journal of Mathematics, 1993 In previous work the author has studied coisotropic submanifolds and their generating families [Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 4, 429-441 (1992)]. In this paper the author applies the generating family approach to isotropic submanifolds. Recall that \(I\) is an isotropic submanifold of \((T^*M, \omega_ M)\) if \(i : I \to T^* M\) is an
Stanisław Janeczko
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Some of the next articles are maybe not open access.
Equivalence of isotropic submanifolds and symmetry
Journal of Mathematical Physics, 1997It is shown that any two generating families of the same isotropic submanifold are equivalent. Also the singularity theory of symmetric isotropic submanifolds is developed and the basic classification theorems on prenormal forms, in particular for Z2 action, are proved.
S Janeczko
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Deformations of isotropic submanifolds in Kähler manifolds
Journal of Geometry and Physics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen Bang-yen
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Semiclassical States Associated with Isotropic Submanifolds of Phase Space [PDF]
Letters in Mathematical Physics, 2016 We define classes of quantum states associated to isotropic submanifolds of cotangent bundles. The classes are stable under the action of semiclassical pseudo-differential operators and covariant under the action of semiclassical Fourier integral operators. We develop a semiclassical symbol calculus for them; the symbols are symplectic spinors.
Alejandro Uribe
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Splitting Theorems for Submanifolds of Nonnegative Isotropic Curvature
Results in Mathematics, 2011The first new result of this paper is theorem 1.1. Let \(M^n\), \(n\geq 4\), be a complete non-compact manifold such that \(M\times \mathbb{R}^2\) has nonnegative isotropic curvature. Then \(M\) has nonnegative sectional curvature and is locally isometric to a product over its soul. Moreover, \(M\) is covered by \(N^k\times P^{n-k}\), where \(P^{n-k}\)
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Reduction of the codimension for lightlike isotropic submanifolds [PDF]
Journal of Geometry and Physics, 2002 The paper deals with embeddings of \(n\)-dimensional semi-Riemannian manifolds into \(N\)-dimensional manifolds (the latter are mainly of constant curvature). The question is posed under which circumstances, an embedding is possible already in an \(N-1\)-dimensional manifold.
Cyriaque Atindogbe
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Isotropic submanifolds of pseudo-Riemannian spaces
Journal of Geometry and Physics, 2012 The family of all the submanifolds of a given Riemannian or pseudo-Riemannian manifold is large enough to classify them into some interesting subfamilies such as minimal (maximal), totally geodesic, Einstein, etc. Most of these have been extensively studied by many authors, but as far as we know, no paper has hitherto been published on the class of ...
Cabrerizo Jaraíz, José Luis +2 more
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Co-isotropic and Legendre - Lagrangian submanifolds and conformal Jacobi morphisms
Journal of Physics A, 1997This work has been partially supported through grants DGICYT (Spain) (project PB94- 0106), Consejer´ıa de Educacion del Gobierno de Canarias (Universidad de la Laguna), ´ DGICYT (Spain) (project PB94-0633-C02-02), and UNED (Spain).
David Martín de Diego +2 more
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Isotropic submanifolds and the inverse problem for mechanical constrained systems [PDF]
Journal of Physics A: Mathematical and Theoretical, 2015 38 pages. Comments welcome!!!
María Barbero Liñán +1 more
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