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中国地质大学科学技术发展院左博新，胡祥云*等，计算机学院，Geophysical Research Letters （2020），Downward Continuation and Transformation of Total‐Field Magnetic Anomalies Into Magnetic Gradient Tensors Between Arbitrary Surfaces Using Multilayer Equivalent Sources
资源勘探；等效源方法；磁测；数据；下延拓；磁梯度；张量；转换计算
2021/10/15
近日，地球物理著名期刊《Geophysical Research Letters》正式刊发了中国地质大学胡祥云教授团队研究成果 -“Downward continuation and transformation of total-field magnetic anomalies into magnetic gradient tensors between arbitrary surfaces u...
Invariant tensors related with natural connections for a class Riemannian product manifolds
Invariant tensors natural connections class Riemannian product manifolds Differential Geometry
2012/6/29
Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metr...
We exhibit sufficient conditions for a monoidal monad T on a monoidal category C to induce a monoidal structure on the Eilenberg--Moore category C^T that classifies bimorphisms. The category of action...
Target Identification Using Dictionary Matching of Generalized Polarization Tensors
generalized polarization tensors target identification shape representation stability analysis
2012/4/16
The aim of this paper is to provide a fast and efficient procedure for (real-time) target identification in imaging based on matching on a dictionary of precomputed generalized polarization tensors (G...
M-tensors and The Positive Definiteness of a Multivariate Form
M-tensors eigenvalue algorithm positive definiteness
2012/3/1
We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector. We propose an...
Goryachev-Chaplygin, Kovalevskaya, and Brdicka-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stackel-Killing tensors
Goryachev-Chaplygin Kovalevskaya Brdicka-Eardley-Nappi-Witten pp-waves spacetimes Differential Geometry
2011/10/10
Abstract: Hidden symmetries of the Goryachev-Chaplygin and Kovalevskaya gyrostats spacetimes, as well as the Brdi\v{c}ka-Eardley-Nappi-Witten pp-waves are studied. We find out that these spacetimes po...
Geometric Realizability of Covariant Derivative Kähler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds
Geometric Realizability Covariant Derivative Kä hler Tensors Pseudo-Hermitian
2011/2/25
The covariant derivative of the K¨ahler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that any 3-tensor which s...
One-loop stress tensors for scalar and spinor fields on the homogeneous spaces with G-invariant metrics
One-loop stress tensors for scalar spinor fields homogeneous spaces G-invariant metrics
2011/2/28
Vacuum expectation value of the stress-energy-momentum tensor for scalar and spinor fields is obtainted on the homogeneous space with G-invariant metrics using the orbits of coadjoint representation o...
Minkowski Tensors of Anisotropic Spatial Structure
Minkowski Tensors Anisotropic Spatial Structure
2010/12/15
We describe a novel approach to morphology and anisotropy analysis of complex spatial structure using tensorvalued Minkowski functionals, or Minkowski tensors.
Higher-order Integrality for Weak A -harmonic Tensors
interpolation Hodge decomposition weak A -harmonic tensor
2012/9/26
The higher integrality for the very weak solutions of the non-homogeneous A -harmonic equation (d) dAxg u dh∗∗,+ = is obtained using the result of Riesz transforms and interpolation.
Some Curvature Tensors on a Trans-Sasakian Manifold
Trans-Sasakian projectively flat concircularly flat
2010/2/26
The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.
We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-...