본문 바로가기
KERD
논문KCI 등재

Notes on minimal unit Killing vector fields

박정형|Kouei Sekigawa|전선향
대한수학회 (The Korean Mathematical Society)|2018.09|대한수학회보 (Bulletin of the KMS)|제55권 제5호|pp. 1339-1350

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

minimal vector field
주제분류수학

초록

We will find a necessary and sufficient condition for unit Killing vector fields to be minimal and provide an application of the obtained result.

Abstract

We will find a necessary and sufficient condition for unit Killing vector fields to be minimal and provide an application of the obtained result.

참고문헌 (13)

  1. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics, 203" (2002), Birkhauser Boston, Inc.
  2. V. Borrelli, "Area-minimizing vector fields on round 2-spheres", J. Reine Angew. Math., 640, pp.85~99 (2010)
  3. 전선향, "A REMARK ON H-CONTACT UNIT TANGENT SPHERE BUNDLES", 대한수학회지, 48(2), pp.329~340 (2011), 대한수학회
  4. S. H. Chun, "H-contact unit tangent sphere bundles of four-dimensional Riemannian manifolds", J. Aust. Math. Soc., 91(2), pp.243~256 (2011)[DOI]
  5. S. H. Chun, "H-contact unit tangent sphere bundles of Einstein manifolds", Q. J. Math., 62(1), pp.59~69 (2011)[DOI]
  6. S. H. Chun, "Correction to "Minimal unit vector fields"", ~
  7. A. Fawaz, "Total curvature and volume of foliations on the sphere <TEX>$S^2$<", TEX>, 2009, pp.7(4), 660~669
  8. O. Gil-Medrano, "Minimal unit vector fields", Tohoku Math. J., 54(1), pp.71~84 (2002)[DOI]
  9. J. C. Gonzalez-Davila, "Examples of minimal unit vector fields", Ann. Global Anal. Geom., 18(3-4), pp.385~404 (2000)[DOI]
  10. A. Hurtado, "Instability of Hopf vector fields on Lorentzian Berger spheres", Israel J. Math., 177, pp.103~124 (2010)[DOI]
  11. D. Perrone, "Stability of the Reeb vector field of H-contact manifolds", Math. Z., 263(1), pp.125~147 (2009)[DOI]
  12. D. Perrone, "Minimality, harmonicity and CR geometry for Reeb vector fields", Internat. J. Math., 21(9), pp.1189~1218 (2010)[DOI]
  13. 이승훈, "LEFT-INVARIANT MINIMAL UNIT VECTOR FIELDS ON THE SEMI-DIRECT PRODUCT Rn oP R", 대한수학회보, 47(5), pp.951~960 (2010), 대한수학회

관련 논문AI추천

On the Killing and related conditions for the Reeb vector field of an almost contact Riemannian manifoldYaning Wang, Yuan Zhou대한수학회 · 대한수학회보2025 · 제62권 제1호On a conformal Killing vector fields in a compact almost Kahlerian manifols전재복, Kazuhiko Takano대한수학회 · 대한수학회보2005 · 제42권 제1호Left-invariant minimal unit vector fields on a Lie group of constant negative sectional curvature이승훈대한수학회 · 대한수학회보2009 · 제46권 제4호A note on static manifolds and almost Ricci solitonsHajar Ghahremani-Gol, Reihaneh Ahmadzadeh대한수학회 · 대한수학회논문집2022 · 제37권 제2호A Poincaré Potential and Holomorphic Killing Vector Fields이강혁영남수학회 · East Asian Mathematical Journal2025 · 제41권 제5호Riemannian submersions whose total space is endowed with a torse-forming vector field\c{S}emsi Eken~Meri\c{c}, Erol K{\i}l{\i}\c{c}대한수학회 · 대한수학회논문집2022 · 제37권 제4호

이 간행물의 다른 논문 (21건)

Height inequality for rational maps and bounds for preperiodic points이종규pp. 1317-1332A QUESTION ON *-REGULAR RINGSJian Cui, Xiaobin Yinpp. 1333-1338Polynomially demicompact operators and spectral theory for operator matrices involving demicompactness classesBilel Krichen, Aref Jeribi, Fatma Ben Brahimpp. 1351-1370The classification of self-dual codes over Galois rings of length 4최환혁pp. 1371-1387Units, nilpotent elements, and unit-IFP rings윤상조, 박상원pp. 1389-1396
원문 보기