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リーマン多様体の幾何学

Research Project

Project/Area Number 05640094
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Geometry
Research InstitutionOchanomizu University

Principal Investigator

小川 洋輔  お茶の水女子大学, 理学部, 教授 (90017187)

Co-Investigator(Kenkyū-buntansha) 真島 秀行  お茶の水女子大学, 理学部, 教授 (50111456)
小野 薫  お茶の水女子大学, 理学部, 助教授 (20204232)
塚田 和美  お茶の水女子大学, 理学部, 助教授 (30163760)
Project Period (FY) 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1993: ¥800,000 (Direct Cost: ¥800,000)
KeywordsHopf多様体 / 局所共形的Kahler空間 / isotropic immersion / symplectic geometry
Research Abstract

当初にめざしたRiemann曲率の共変微分の直交分解に関しては顕著な結果が得られなかった.塚田はHopf多様体を含むKaehlerでないHermite多様体のあるクラス(一般Hopf多様体と呼ばれる)について,その上のDolbeault cohomology,holomorphic forms,holomorphic vector fieldsなどについて調べ,特にcompact Kaehler空間における松島-Lichnerowiczの定理と同じ結果を示した.また実空間形へのisotropicなimmersionについてその余次元の低いものを決定した.小野は特にsymplectic geometryに関していくつかの結果を得た.

Report

(1 results)
  • 1993 Annual Research Report
  • Research Products

    (4 results)

All Other

All Publications (4 results)

  • [Publications] K.Tsukada: "Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifold" to appear in Compositio Math.

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Maeda-K.Tsukada: "Isotropic immersions into a real space form" to appear in Canada Math.Bull.

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Ono-S.S.Rohn: "Vata's formula and equivariant K-theory" J.of Geometry and Physics. 10. 287-294 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] L.H.Van-K.Ono: "Symplectic fixed points,the Calabi invariant and Novikov homolog" to appear in Topology.

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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