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Let X = G=P be a homogeneous space of a complex semisimple
Lie group G equipped with a hermitian metric. We study the action of the
Hodge star operator on the space of harmonic di erential forms on ...
Compact Gradient Shrinking Ricci Solitons with Positive Curvature Operator
Positive Curvature Operator Shrinking Ricci Solitons
2015/8/17
In this paper, we first derive several identities on a compact shrinking Ricci
soliton. We then show that a compact gradient shrinking soliton must be
Einstein, if it admits a Riemannian metri...
Eigenvalues control for a Finsler--Laplace operator
Eigenvalues control Finsler--Laplace operator Differential Geometry
2012/6/27
Using the definition of a Finsler--Laplacian given by the first author, we show that two bi-Lipschitz Finsler metrics have a controlled spectrum. We deduce from that several generalizations of Riemann...
The translation operator for self-projective coalgebras
translation operator self-projective coalgebras
2011/1/17
We describe the transpose operator for self-projective and symmetric coalgebras in terms of the syzygy and Nakayama functors.
We show that for any fixed point P0 on a Riemann surface the distinct realizations of cocycles in H1(,O) correspond to the natural appearances of the standard Heisenberg vertex operator algebra (P0...
Heisenberg-Pauli-Weyl Uncertainty Principle for the Riemann-Liouville Operator
Heisenberg-Pauli-Weyl Inequality Riemann-Liouville operator Fourier transform local uncertainty principle
2010/1/22
The Heisenberg-Pauli-Weyl inequality is established for the Fourier transform connected with the Riemann-Liouville operator.Also, a generalization of this inequality is proved. Lastly, a local uncerta...
Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for
Jaynes-Cummings Model
pseudo-invariant eigen-operator method Jaynes-Cummings model energy gap
2007/8/15
2006Vol.45No.2pp.255-258DOI:
Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for
Jaynes-Cummings Model
FAN Hong-Yi1,2 and DA Cheng3
1 Department of Physics...
Applications of the Tachibana Operator on Problems of Lifts
Tensor bundle affinor complete lift pure cross-section Tachibana operator
2010/3/1
The purpose of the present paper is to study, using the Tachibana operator, the complete lifts of affinor structures along a pure cross-section of the tensor bundle and to investigate their transfers....
On the Stability Results for Third Order Differential-Operator Equations
Differential-Operator Equations Stability Global asymptotic stabilty
2010/3/5
Sufficient conditions for the stability and the global asymptotic stability of the zero solution of third order linear differential- operator equations are established.