Results 11 to 20 of about 276,630 (212)
Invariant submanifold flows [PDF]
Given a Lie group acting on a manifold, our aim is to analyze the evolution of differential invariants under invariant submanifold flows. The constructions are based on the equivariant method of moving frames and the induced invariant variational bicomplex.
Peter J. Olver, Peter J Olver
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The spectrum of an invariant submanifold [PDF]
AbstractThis paper is concerned with vector fields on smooth compact manifolds. The exponential growth of solutions of the linearized equations is described by the already well-known Spectral Theorem applied to the induced linear flow on the tangent bundle.
Robert Sacker, George Roger Sell
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ON AN INVARIANT SUBMANIFOLD OF HYPERBOLIC SASAKIAN MANIFOLDS [PDF]
The object of the present paper is to study an invariant submanifold of hyperbolic Sasakian maifolds. In this paper, we consider semiparallel and 2-semiparallel invariant submanifolds of hyperbolic Sasakian manifold and it is shown that these submanifolds are totally geodesic.
Pandey, Shravan Kumar, Singh, Ram Nawal
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Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds
In the present paper, we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
doaj +2 more sources
INVARIANT SUBMANIFOLDS OF CONTACT (κ, μ)-MANIFOLDS [PDF]
AbstractInvariant submanifolds of contact (κ, μ)-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (κ, μ)-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (κ, μ)-manifold, μ ≠ 0, such that the characteristic vector field is tangent to the ...
CAPPELLETTI MONTANO, BENIAMINO +2 more
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds [PDF]
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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The boundary of an affine invariant submanifold [PDF]
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 formula for the tangent space to the boundary.
Alex Wright
exaly +4 more sources
A Compact and Complete AFMT Invariant with Application to Face Recognition [PDF]
In this paper, we present a complete set of hybrid similarity invariants under the Analytical Fourier-Mellin Transform (AFMT) framework, and apply it to invariant face recognition. Because the magnitude and phase spectra are not processed separately,
Yu, Hongchuan, Bennamoun, Mohammed
core +9 more sources
On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman +2 more
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Conformal Invariants of Submanifolds [PDF]
A local conformal invariant and a global conformal invariant of a submanifold immersed in a Euclidean space are derived.
Hsiung, Chuan-Chih, Mugridge, Larry R.
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