This paper aims to study the Berger type deformed Sasaki metric g_(BS)on the second order tangent bundle T^(2)M over a bi-Kählerian manifold M.The authors firstly find the Levi-Civita connection of the Berger typ...This paper aims to study the Berger type deformed Sasaki metric g_(BS)on the second order tangent bundle T^(2)M over a bi-Kählerian manifold M.The authors firstly find the Levi-Civita connection of the Berger type deformed Sasaki metric g_(BS)and calculate all forms of Riemannian curvature tensors of this metric.Also,they study geodesics on the second order tangent bundle T^(2)M and bi-unit second order tangent bundle T^(2)_(1,1)M,and characterize a geodesic of the bi-unit second order tangent bundle in terms of geodesic curvatures of its projection to the base.Finally,they present some conditions for a sectionσ:M→T^(2)M to be harmonic and study the harmonicity of the different canonical projections and inclusions of(T^(2)M,g_(BS)).Moreover,they search the harmonicity of the Berger type deformed Sasaki metric g_(BS)and the Sasaki metric g_(S) with respect to each other.展开更多
In this paper, we establish a rigidity theorem for compact constant mean curva- ture surfaces of the Berger sphere in terms of the surfaces＇ geometric invariants. This extends the previous similar result on compact m...In this paper, we establish a rigidity theorem for compact constant mean curva- ture surfaces of the Berger sphere in terms of the surfaces＇ geometric invariants. This extends the previous similar result on compact minimal surfaces of the Berger sphere.展开更多
This note studies the Chern-Simons invariant of a closed oriented Riemannian 3-manifold M. The first achievement is to establish the formula CS（e） - CS（e） = degA, where e and e are two （global） frames of M, and...This note studies the Chern-Simons invariant of a closed oriented Riemannian 3-manifold M. The first achievement is to establish the formula CS（e） - CS（e） = degA, where e and e are two （global） frames of M, and A ： M → SO（3） is the ＂difference＂ map. An interesting phenomenon is that the ＂jumps＂ of the Chern-Simons integrals for various frames of many 3-manifolds are at least two, instead of one. The second purpose is to give an explicit representation of CS（e＋） and CS（e_）, where e＋ and e_ are the ＂left＂ and ＂right＂ quaternionic frames on M3 induced from an immersion M^3 → E^4, respectively. Consequently we find many metrics on S^3 （Berger spheres） so that they can not be conformally embedded in E^4.展开更多
We propose an approach to detect the temporary faults induced by an environmental phenomenon called single event upset(SEU). Berger code based self-checking checkers provides an online detection of faults in digital c...We propose an approach to detect the temporary faults induced by an environmental phenomenon called single event upset(SEU). Berger code based self-checking checkers provides an online detection of faults in digital circuits as well as in memory arrays. In this work, a concurrent Berger code based online self-testable architecture is proposed and integrated in 32-bit DLX reduced instruction set computer(RISC) processor on a single silicon chip. The proposed concurrent test methodology is implemented and verified for various arithmetic and logical operations of the DLX processor. The FPGA implementation of the proposed design shows that a meager increase in hardware utilization facilitates online self-testing to detect temporary faults.展开更多
On sait qu’un espace local homogène formé de l’algèbre de Lie réelle g et sa sousalgèbre g1 est dit symétrique （E.L.S.）lorsque g1 est composé des éléments invariants d...On sait qu’un espace local homogène formé de l’algèbre de Lie réelle g et sa sousalgèbre g1 est dit symétrique （E.L.S.）lorsque g1 est composé des éléments invariants d’un automorphisme involutif σ de g. On se borne ici àétudier le cas où g est une algèbre de Lie simple qui a une décomposition de Cartan g=k+p. D’après M. Berger, nous savons que tout automorphisme involutif展开更多
After the initial surge in market growth,platforms began reducing subsidies to passengers and drivers in response to the inevitable pressure from cash-flow concerns.According to Roland Berger’s recently released"...After the initial surge in market growth,platforms began reducing subsidies to passengers and drivers in response to the inevitable pressure from cash-flow concerns.According to Roland Berger’s recently released"Analysis of China’s premium chauffeured car market",it shows that premium展开更多
Rejoinder by James Berger, Woncheol Jang,Surajit Ray, Luis R. Pericchi and Ingmar VisserOur thanks to all the discussants for their enlighteningcomments, their excellent discussions of the broadercontext of BIC-type p...Rejoinder by James Berger, Woncheol Jang,Surajit Ray, Luis R. Pericchi and Ingmar VisserOur thanks to all the discussants for their enlighteningcomments, their excellent discussions of the broadercontext of BIC-type procedures and their many exciting possibilities for further investigation. We respond toeach discussant below, generally omitting commentingon those aspects of the discussions that we agree withand to which we have nothing to add.展开更多
文摘This paper aims to study the Berger type deformed Sasaki metric g_(BS)on the second order tangent bundle T^(2)M over a bi-Kählerian manifold M.The authors firstly find the Levi-Civita connection of the Berger type deformed Sasaki metric g_(BS)and calculate all forms of Riemannian curvature tensors of this metric.Also,they study geodesics on the second order tangent bundle T^(2)M and bi-unit second order tangent bundle T^(2)_(1,1)M,and characterize a geodesic of the bi-unit second order tangent bundle in terms of geodesic curvatures of its projection to the base.Finally,they present some conditions for a sectionσ:M→T^(2)M to be harmonic and study the harmonicity of the different canonical projections and inclusions of(T^(2)M,g_(BS)).Moreover,they search the harmonicity of the Berger type deformed Sasaki metric g_(BS)and the Sasaki metric g_(S) with respect to each other.
文摘In this paper, we establish a rigidity theorem for compact constant mean curva- ture surfaces of the Berger sphere in terms of the surfaces＇ geometric invariants. This extends the previous similar result on compact minimal surfaces of the Berger sphere.
基金Supported by NSFC (Grant Nos. 10531090 and 10229101)Chang Jiang Scholars Program
文摘This note studies the Chern-Simons invariant of a closed oriented Riemannian 3-manifold M. The first achievement is to establish the formula CS（e） - CS（e） = degA, where e and e are two （global） frames of M, and A ： M → SO（3） is the ＂difference＂ map. An interesting phenomenon is that the ＂jumps＂ of the Chern-Simons integrals for various frames of many 3-manifolds are at least two, instead of one. The second purpose is to give an explicit representation of CS（e＋） and CS（e_）, where e＋ and e_ are the ＂left＂ and ＂right＂ quaternionic frames on M3 induced from an immersion M^3 → E^4, respectively. Consequently we find many metrics on S^3 （Berger spheres） so that they can not be conformally embedded in E^4.
文摘We propose an approach to detect the temporary faults induced by an environmental phenomenon called single event upset(SEU). Berger code based self-checking checkers provides an online detection of faults in digital circuits as well as in memory arrays. In this work, a concurrent Berger code based online self-testable architecture is proposed and integrated in 32-bit DLX reduced instruction set computer(RISC) processor on a single silicon chip. The proposed concurrent test methodology is implemented and verified for various arithmetic and logical operations of the DLX processor. The FPGA implementation of the proposed design shows that a meager increase in hardware utilization facilitates online self-testing to detect temporary faults.
文摘On sait qu’un espace local homogène formé de l’algèbre de Lie réelle g et sa sousalgèbre g1 est dit symétrique （E.L.S.）lorsque g1 est composé des éléments invariants d’un automorphisme involutif σ de g. On se borne ici àétudier le cas où g est une algèbre de Lie simple qui a une décomposition de Cartan g=k+p. D’après M. Berger, nous savons que tout automorphisme involutif
文摘After the initial surge in market growth,platforms began reducing subsidies to passengers and drivers in response to the inevitable pressure from cash-flow concerns.According to Roland Berger’s recently released"Analysis of China’s premium chauffeured car market",it shows that premium
文摘Rejoinder by James Berger, Woncheol Jang,Surajit Ray, Luis R. Pericchi and Ingmar VisserOur thanks to all the discussants for their enlighteningcomments, their excellent discussions of the broadercontext of BIC-type procedures and their many exciting possibilities for further investigation. We respond toeach discussant below, generally omitting commentingon those aspects of the discussions that we agree withand to which we have nothing to add.
