• Title/Summary/Keyword: normal connection

Search Result 257, Processing Time 0.042 seconds

SURFACES OF 1-TYPE GAUSS MAP WITH FLAT NORMAL CONNECTION

  • Jang, Chang-Rim;Park, Keun
    • Communications of the Korean Mathematical Society
    • /
    • v.14 no.1
    • /
    • pp.189-200
    • /
    • 1999
  • In this paper, we proved that the only surfaces of 1-type Gauss map with flat normal connection are spheres, products of two plane circles and helical cylinders.

  • PDF

AFFINE YANG-MILLS CONNECTIONS ON NORMAL HOMOGENEOUS SPACES

  • Park, Joon-Sik
    • Honam Mathematical Journal
    • /
    • v.33 no.4
    • /
    • pp.557-573
    • /
    • 2011
  • Let G be a compact and connected semisimple Lie group, H a closed subgroup, g (resp. h) the Lie algebra of G (resp. H), B the Killing form of g, g the normal metric on the homogeneous space G/H which is induced by -B. Let D be an invarint connection with Weyl structure (D, g, ${\omega}$) in the tangent bundle over the normal homogeneous Riemannian manifold (G/H, g) which is projectively flat. Then, the affine connection D on (G/H, g) is a Yang-Mills connection if and only if D is the Levi-Civita connection on (G/H, g).

CURVATURE OF MULTIPLY WARPED PRODUCTS WITH AN AFFINE CONNECTION

  • Wang, Yong
    • Bulletin of the Korean Mathematical Society
    • /
    • v.50 no.5
    • /
    • pp.1567-1586
    • /
    • 2013
  • In this paper, we study the Einstein multiply warped products with a semi-symmetric non-metric connection and the multiply warped products with a semi-symmetric non-metric connection with constant scalar curvature, we apply our results to generalized Robertson-Walker spacetimes with a semi-symmetric non-metric connection and generalized Kasner spacetimes with a semi-symmetric non-metric connection and find some new examples of Einstein affine manifolds and affine manifolds with constant scalar curvature. We also consider the multiply warped products with an affine connection with a zero torsion.

NORMAL HOLONOMY GROUP OF A RIEMANNIAN FOLIATIO $N^*$

  • Pak, Hong-Kyung;Pak, Jin-Suk
    • Bulletin of the Korean Mathematical Society
    • /
    • v.30 no.1
    • /
    • pp.17-23
    • /
    • 1993
  • In this paper, we will discuss on the above problem for the case that .upsilon. is a Riemannian foliation. If .upsilon. is a Riemannian foliation on (M, g), we derive some basic relations between the curvature $R^{D}$ of the normal connection D and the curvature R of the Levi-Civita connection .del. on (M, g) (see Lemma 1).).

  • PDF

A study and analysis of waveforms with press conditions of terminal (단자(Terminal) 압착 조건에 따른 파형의 고찰 및 분석)

  • Shin, Young-Lok;Yang, Yun-Suk;Kim, Chul-Han;SaGong, Geon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2000.05b
    • /
    • pp.65-69
    • /
    • 2000
  • The crimping connection is a permanent connection that maintains mechanical and electrical property for a long time by crimping two conductors. In this paper, we have done a basic study to make a decision the normal or abnormal condition depending on crimping. By using PZT piezo-sensor, we have compared and analyzed crimping waveforms of abnormal conditions(core ommiting, cover biting) at the normal crimping height. And hence the normal or abnormal condition of crimping connections in real time could be determined by comparison of crimping waveforms in the cases of normal crimping, core omitting and cover biting.

  • PDF

A study on waveforms with press conditions of Harness terminal (단자(Terminal) 압착조건에 따른 파형의 고찰)

  • Shin, Young-Lok;Yang, Yun-Suk;Kim, Chul-Han;SaGong, Geon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2000.04b
    • /
    • pp.172-175
    • /
    • 2000
  • The crimping connection is a permanent connection that maintains mechanical and electrical property for a long time by crimping two conductors. In this paper, we have done a basic study to decide normal or abnormal condition depending on crimping. Using PZT piezo-sensor, we have analyzed crimping waveforms according to the crimping height. And hence the normal or abnormal condition of crimping connections in real time could be decided by comparison of crimping waveforms in the cases of normal crimping, over crimping, under crimping and core omitting.

  • PDF

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 SATISFYING 𝔏ξ∇ = 0 IN A NONFLAT COMPLEX SPACE FORM

  • AHN, SEONG-SOO;LEE, SEONG-BAEK;LEE, AN-AYE
    • Honam Mathematical Journal
    • /
    • v.23 no.1
    • /
    • pp.133-143
    • /
    • 2001
  • In this paper, we characterize some semi-invariant submanifolds of codimension 3 with almost contact metric structure (${\phi}$, ${\xi}$, g) satisfying 𝔏ξ∇ = 0 in a nonflat complex space form, where ${\nabla}$ denotes the Riemannian connection induced on the submanifold, and 𝔏ξ is the operator of the Lie derivative with respect to the structure vector field ${\xi}$.

  • PDF

ON A SEMI-INVARIANT SUBMANIFOLD OF CODIMENSION 3 WITH CONSTANT MEAN CURVATURE IN A COMPLEX PROJECTIVE SPACE

  • Lee, Seong-Baek
    • Communications of the Korean Mathematical Society
    • /
    • v.18 no.1
    • /
    • pp.75-85
    • /
    • 2003
  • Let M be 3 Semi-invariant submanifold of codimension 3 with lift-flat normal connection in a complex projective space. Further, if the mean curvature of M is constant, then we prove that M is a real hypersurface of a complex projective space of codimension 2 in the ambient space.

Combination-mode BLE Device Profile for Connection & Non-connection Methods

  • Jiang, Guangqiu;Joe, Inwhee
    • Proceedings of the Korea Information Processing Society Conference
    • /
    • 2016.04a
    • /
    • pp.897-899
    • /
    • 2016
  • In recent years, BLE technology has received extensive attention and has been applied to all aspects of life. The existing BLE device has two methods, one is the connection method, and the other is a non-connection method. The representative profile of the connection method is the proximity file. The most typical example of Non-connection method BLE device is a beacon. However, they are both independent and have their own shortcomings. Connection method device can provide service for only one user, others can't use. Security performance of Non-connection method BLE device is poor and the device can't be controlled by the user. In this paper, a combination-mode BLE device profile design scheme is presented, which combines with the previous two methods, and solves the defaults. And We define a dual purpose advertising package that can be used in a normal environment as well as in a disaster environment. Finally, a unidirectional Control idea is proposed. Through performance evaluation, we found that the device has strong stability and low power consumption.