Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
Arab Journal of Mathematical Sciences, 2014 In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
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The boundary of an affine invariant submanifold [PDF]
, 2015 We study the boundary of an affine invariant submanifold of a stratum of translation surfaces in a partial compactification consisting of all finite area Abelian differentials over nodal Riemann surfaces, modulo zero area components. The main result is a
M. Mirzakhani, A. Wright
semanticscholar +1 more source
Pseudo-Isotropic Centro-Affine Lorentzian Surfaces
Mathematics, 2020 In this paper, we study centro-affine Lorentzian surfaces M2 in ℝ3 which have pseudo-isotropic or lightlike pseudo-isotropic difference tensor. We first show that M2 is pseudo-isotropic if and only if the Tchebychev form T=0.
Olivier Birembaux
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Quantum motion on a torus as a submanifold problem in a generalized Dirac’s theory of second-class constraints [PDF]
, 2012 A generalization of Dirac’s canonical quantization scheme for a system with second-class constraints is proposed, in which the fundamental commutation relations are constituted by all commutators between positions, momenta and Hamiltonian, so they are ...
D. Xun, Quanhui Liu, Xuanmin Zhu
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds II
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 In 1994 N.~Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of $CR$- and slant-submanifolds, \cite{MR0353212}, \cite{MR760392}.
Koji Matsumoto
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Submanifolds with nonparallel first normal bundle revisited [PDF]
, 2013 In this paper, we analyze the geometric structure of an Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension.
Dajczer, Marcos, Tojeiro, Ruy
core +3 more sources
A normal form for a real 2-codimensional submanifold in $\mathbb{C}^{N+1}$ near a CR singularity [PDF]
, 2011 We construct a formal normal form for a real 2-codimensional submanifold M\subset\mathbb{C}^{N+1} near a CR singularity approximating the sphere. This result gives a higher dimensional extension of Huang-Yin's normal form in \mathbb{C}^{2}.
Valentin Burcea
semanticscholar +1 more source
Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]
, 2013 In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G).
Ewert-Krzemieniewski, Stanisław
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Lagrangian submanifolds and Lefschetz pencils [PDF]
, 2004 Given a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil on the manifold extending the Morse function to the whole manifold.
Auroux, Denis +2 more
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Conformal anomaly of submanifold observables in AdS/CFT correspondence☆ [PDF]
, 1999 We analyze the conformal invariance of submanifold observables associated with k-branes in the AdS/CFT correspondence. For odd k, the resulting obsrvables are conformally invariant, and for even k, they transform with a conformal anomaly that is given by
C. Robin, G. And, E. Witten
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