Results 31 to 40 of about 4,276,702 (282)
A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
doaj +1 more source
Totally real submanifolds of a complex space form
Totally real submanifolds of a complex space form are studied. In particular, totally real submanifolds of a complex number space with parallel mean curvature vector are classified.
U-Hang Ki, Young Ho Kim
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K\"ahler immersions of K\"ahler manifolds into complex space forms [PDF]
The study of K\"ahler immersions of a given real analytic K\"ahler manifold into a finite or infinite dimensional complex space form originates from the pioneering work of Eugenio Calabi [10].
Loi, Andrea, Zedda, Michela
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Note on the asymptotic structure of Kerr-Schild form
The Kerr-Schild form provides a natural way of realizing the classical double copy that relates exact solutions in general relativity to exact solutions in gauge theory. In this paper, we examine the asymptotic structure of Kerr-Schild form.
Pujian Mao, Weicheng Zhao
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Parallel submanifolds of complex space forms II [PDF]
This is a continuation of Part I, which appeared in this journal.In the previous paper I we have defined the following notions: orthogonal Jordan triple system (OJTS), orthogonal symmetric graded Lie algebra (OSGLA), orthogonal Jordan algebra (OJA), Hermitian symmetric graded Lie algebra (HSGLA).
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Feynman’s iϵ prescription, almost real spacetimes, and acceptable complex spacetimes
Feynman’s iϵ prescription for quantum field theoretic propagators has a quite natural reinterpretation in terms of a slight complex deformation of the Minkowski space-time metric. Though originally a strictly flat-space result, once reinterpreted in this
Matt Visser
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Deformed diagonal harmonic polynomials for complex reflection groups [PDF]
We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W=G(m,p,n), and give supporting evidence that this space seems to always be isomorphic, as a graded W-module, to the ...
Bergeron, François +2 more
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Product complex submanifolds on of indefinite complex space forms
An analogue of the Segre imbedding for the indefinite complex projective (and hyperbolic) space is constructed. The paper then deals with isometric holomorphic immersions of a product of two complete indefinite Kähler manifolds into a complex projective space.
Ikawa, Toshihiko +2 more
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Application of the Complex Moments for Selection of an Optimal Sensor
In the first time we apply the statistics of the complex moments for selection of an optimal pressure sensor (from the available set of sensors) based on their statistical/correlation characteristics.
Raoul R. Nigmatullin +1 more
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Symplectic maps of complex domains into complex space forms
to appear in Journal of Geometry and ...
LOI, ANDREA, ZUDDAS, FABIO
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