본문 바로가기
KERD
논문KCI 등재

H-slant submersions

박광순
대한수학회 (The Korean Mathematical Society)|2012.03|대한수학회보 (Bulletin of the KMS)|제49권 제2호|pp. 329-338

0

조회

0

다운로드

8

인용

0

참고문헌

키워드

Riemannian submersionquaternionic Hermitian manifoldK\"ahler manifoldhyperk\"ahler manifold
주제분류수학

초록

In this paper, we define the almost h-slant submersion and the h-slant submersion which may be the extended version of the slant submersion [11]. And then we obtain some theorems which come from the slant submersion's cases. Finally, we construct some examples for the almost h-slant submersions and the h-slant submersions.

Abstract

In this paper, we define the almost h-slant submersion and the h-slant submersion which may be the extended version of the slant submersion [11]. And then we obtain some theorems which come from the slant submersion's cases. Finally, we construct some examples for the almost h-slant submersions and the h-slant submersions.

참고문헌 (13)

  1. J. P. Bourguignon, "A mathematician's visit to Kaluza-Klein theory", Rend. Sem. Mat. Univ. Politec. Torin, (Special Issue), pp.143~163 (1989)
  2. J. P. Bourguignon, "Stability and isolation phenomena for Yang-Mills fields", Comm. Math. Phys, 79(2), pp.189~230 (1981)
  3. B. Y. Chen, "Geometry of Slant Submanifolds" (1990), Katholieke Universiteit Leuven
  4. V. Cortes, "Special geometry of Euclidean supersymmetry. I. Vector multiplets", J. High Energy Phys, (3), pp.73~ (2004)
  5. A. Gray, "Pseudo-Riemannian almost product manifolds and submersions", J. Math. Mech, 16, pp.715~737 (1967)
  6. S. Ianus, "Riemannian submersions from quaternionic manifolds", Acta Appl. Math, 104(1), pp.83~89 (2008)
  7. S. Ianus, "Kaluza-Klein theory with scalar fields and generalised Hopf manifolds", Classical Quantum Gravity, 4(5), pp.1317~1325 (1987)
  8. S. Ianus, "Space-time compactification and Riemannian submersions, The mathematical heritage of C. F. Gauss", pp.358~371 (1991), World Sci. Publ.
  9. M. T. Mustafa, "Applications of harmonic morphisms to gravity", J. Math. Phys, 41(10), pp.6918~6929 (2000)
  10. B. O'Neill, "The fundamental equations of a submersion", Michigan Math. J, 13, pp.459~469 (1966)
  11. B. Sahin, "slant submersions from almost Hermitian manifolds", Bull. Math. Soc. Sci. Math. Roumanie Tome, 54(102)(1), pp.93~105 (2011)
  12. B. Watson, "Almost Hermitian submersions", J. Differential Geometry, 11(1), pp.147~165 (1976)
  13. B. Watson, "G, G′-Riemannian submersions and nonlinear gauge field equations of general relativity, Global analysis-analysis on manifolds", Teubner-Texte Math., 57, pp.324~349 (1983)

관련 논문AI추천

H-quasi-hemi-slant submersionsAysel-Turgut Vanli, Rajendra Prasad, Sumeet Kumar, Sushil Kumar대한수학회 · 대한수학회논문집2023 · 제38권 제2호Pointwise slant submersions이재원, Bayram Sahin대한수학회 · 대한수학회보2014 · 제51권 제4호Conformal hemi-slant submersions from almost Hermitian manifoldsRajendra Prasad, Shashikant Pandey, Sumeet Kumar, Sushil Kumar대한수학회 · 대한수학회논문집2020 · 제35권 제3호Semi-slant submersions박광순, Rajendra Prasad대한수학회 · 대한수학회보2013 · 제50권 제3호H-v-semi-slant submersions from almost quaternionic Hermitian manifoldsKwang-Soon Park대한수학회 · 대한수학회보2016 · 제53권 제2호On slant Riemannian submersions for cosymplectic manifoldsCengizhan Murathan, Irem Kupeli Erken대한수학회 · 대한수학회보2014 · 제51권 제6호

이 간행물의 다른 논문 (20건)

GEOMETRIC QUANTIZATION OF ODD DIMENSIONAL SPINc MANIFOLDSJian Wang, Yong Wangpp. 223-234FUNCTION ALGEBRAS ON BIDISKSKieu Phuong Chi, Nguyen Quang Dieupp. 235-247SENSITIVITY ANALYSIS FOR A CLASS OF IMPLICIT MULTIFUNCTIONS WITH APPLICATIONSMinghua Li, Shengjie Lipp. 249-262SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMSXiao Wen, 이건희pp. 263-270LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN LOCALLY SYMMETRIC LORENTZ SPACEDan Yangpp. 271-284
원문 보기