본문 바로가기
KERD
논문KCI 등재

Tangent sphere bundles of variable radii

박정형|J. H Kim|K. Sekigawa
장전수학회 (Jangjeon Mathematical Society)|2013.07|Advanced Studies in Contemporary Mathematics|제23권 제3호|pp. 531-544

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

almost contact metric structuretangent sphere bundleSasaki metric.
주제분류수학

초록

We study the geometry of a tangent sphere bundle Tr(M, g) of a Riemannian manifold (M, g) of a variable radius r. Some geometric conditions are obtained for the standard almost contact metric structure (Φ,Σ, η, gr) on Tr(M, g) to be a contact metric structure, and an example is provided.

Abstract

We study the geometry of a tangent sphere bundle Tr(M, g) of a Riemannian manifold (M, g) of a variable radius r. Some geometric conditions are obtained for the standard almost contact metric structure (Φ,Σ, η, gr) on Tr(M, g) to be a contact metric structure, and an example is provided.

참고문헌 (12)

  1. K. M. T. Abbassi, "On g-natural metrics with constant scalar curvature on unit tangent sphere bundles, In Topics in almost Hermitian geometry and related fields", pp.1~29 (2005), World Scientific
  2. D. Blair, "Riemannian geometry of contact and symplectic manifolds", Progress in Math, 203 (2002)
  3. E. Boeckx, "When are the tangent sphere bundles of a Riemannian manifold reducible ?", Trans. Amer. Math. Soc., 355(7), pp.2885~2903 (2003)
  4. E. Boeckx, "Unit tangent sphere bundles with constant scalar curvature", Czechoslovak Math. J., 51(3), pp.523~544 (2001)
  5. Y. D. Chai, "Remarks on n-Einstein unit tangent bundles", Monatsh. Math, 155, pp.31~42 (2008)
  6. J. Cheeger, "On the structure of complete manifolds of nonnegative curvature", Ann. of Math., 96, pp.413~443 (1972)
  7. O. Kowalski, "On tangent sphere bundles with small and large constant radius", Ann. Global Anal. Geom., 18(3-4), pp.207~219 (2000)
  8. O. Kowalski, "On the scalar curvature of tangent sphere bundles with arbitrary constant radius", Bull. Greek Math. Soc., 44, pp.17~30 (2000)
  9. E. Musso, "Riemannian metrics on tangent bundles", Ann. Mat. Pura Appl., 150(1), pp.1~20 (1988)
  10. J. H. Park, "When are the tangent sphere bundles of a Riemannian manifold eta-Einstein?", Ann Glob Anal Geom, 36(3), pp.275~284 (2009)
  11. 박정형, "Notes on tangent sphere bundles of constant radii", 대한수학회지, 46(6), pp.1255~1265 (2009), 대한수학회
  12. M. Sekizawa, "Curvatures of tangent bundles with Cheeger-Gromoll metrics", Tokyo J. Math., 14(2), pp.407~417 (1991)

관련 논문AI추천

Notes on tangent sphere bundles of constant radii박정형, Kouei Sekigawa대한수학회 · 대한수학회지2009 · 제46권 제6호A REMARK ON H-CONTACT UNIT TANGENT SPHERE BUNDLES박정형, 박홍경, 전선향, Kouei Sekigawa대한수학회 · 대한수학회지2011 · 제48권 제2호Contact Riemannian manifolds with Killing structure operators전선향, 조종택대한수학회 · 대한수학회보2025 · 제62권 제5호On N(κ)-Contact Metric Manifolds Satisfying Certain Curvature Conditions전재복, Avik De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호A new class of Riemannian metrics on tangent bundle of a Riemannian manifoldAmir Baghban, Saeed Hashemi Sababe대한수학회 · 대한수학회논문집2020 · 제35권 제4호On deformed-Sasaki metric and harmonicity in tangent bundlesAbderrahim Zagane, Naima Boussekkine대한수학회 · 대한수학회논문집2020 · 제35권 제3호

이 간행물의 다른 논문 (14건)

Closeness and equivalence of some unbounded representations of amenable groupsA. I. Shternpp. 367-373Coupled fixed points of contraction maps with a rational expression in partially ordered metric spacesG. V. R. BABU, P. D. Sailaja, P. Subhashinipp. 375-391Combinatorial identities involving harmonic and hyperharmonic numbers김대산, 이상훈, 김태균pp. 393-415THE BOUNDS OF THE COEFFICIENTS OF THE CHARACTERISTIC POLYNOMIALS FOR ABELIAN VARIETIES OF DIMENSION 5 OVER FINITE FIELDS손교용pp. 417-422Control of the linear systems under uncertaintyDmitriy V. Dolgypp. 423-429
원문 보기