Results 101 to 110 of about 1,099 (217)

Invariant Variational Problems and Invariant Flows via Moving Frames

, 2007
This paper reviews the moving frame approach to the construction of the invariant variational bicomplex. Applications include explicit formulae for the Euler-Lagrange equations of an invariant variational problem, and for the equations governing the ...

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Semi-Invariant Submanifolds A Lorentzian Kenmotsu Manifold With Semi-Symmetric Metric Connection

, 2021
In this paper, semi-invariant submanifolds of a lorentzian Kenmotsu manifold endowed with a semi-symmetric metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a lorentzian Kenmotsu manifold to be semi ...
Ünal, İnan, Sarı, Ramazan
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Formulation and proof of the gravitational entropy bound

Journal of High Energy Physics
We provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory’s phase space.
Artem Averin
doaj   +1 more source

On Invariant Submanifolds of LP -Sasakian Manifolds [PDF]

, 2012
: The object of the present paper is to find a necessary and sufficient condition for an invariant submanifold of an LP -Sasakian manifold to be totally geodesic.
Sen, Matilal, Avijit Sarkar, Matilal Sen, Sarkar, Avijit   +3 more
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Semi-invariant submanifolds of a normal almost paracontact manifold

, 2017
In this paper, we introduce the notion of semi-invariant submanifolds of a normal almost paracontact manifold. We study their fundamental properties and the particular cases. The necessary and sufficient conditions are given for a submanifold to
Siraj Uddin, Mehmet Atçeken
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Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms

Axioms
In this paper, we investigate Chen’s δ-invariant for partially slant (PS) submanifolds of complex space forms. A PS-submanifold admits an orthogonal decomposition of the tangent bundle into a proper slant distribution and an arbitrary ambiguous ...
Md Aquib
doaj   +1 more source

A holistic similarity measure for GMMs by embedding it into the manifold of SPD matrices

Applied Mathematics in Science and Engineering
In this paper, a new similarity measure for comparing two Gaussian Mixture Models (GMMs) is obtained. This is based on an embedding of the manifold of K-component GMMs into the manifold of the symmetric positive definite matrices (SPD).
Amit Vishwakarma, K. S. Subrahamanian Moosath   +1 more
doaj   +1 more source

+1)-invariant Gaussian Random Polynomials

, 2015
We study the two-point correlation functions for the zeroes of systems of SO(n+1)-invariant Gaussian random polynomials on RPn and systems of Isom(Rn) -invariant Gaussian analytic functions.
Pavel Bleher, Roeder, Roland K. W., Roland K. W. Roeder, Bleher, Pavel M., Yushi Homma, Homma, Yushi   +5 more
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Proper smooth G-manifolds have complete G-invariant Riemannian metrics

, 2005
Assume G is a Lie group, K is a compact subgroup of G and M is a proper smooth G-manifold. Using properties of the regular representations L2(G) and L2(K), we first prove results about extending certain representations and embedding homogeneous spaces ...
Kankaanrinta, Marja
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Gradient Expanding Ricci Solitons Type Inequalities on Submanifolds in Quaternion Kaehler Manifolds with Bi-Slant Factor

Mathematics
In this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
doaj   +1 more source