Skip to main content

The Almost Hermitian Structures Determined by the Riemannian Structures on the Tangent Bundle

  • Chapter
Book cover Finsler and Lagrange Geometries
  • 208 Accesses

Abstract

One proves that a Riemannian structure 𝔾 on the total space TM of the tangent bundle (TM, π, M) determines an almost Hermitian structure on TM.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Matsumoto K., On locally conformal Kähler space forms, Internat. J. Math. Sci. 8 (1985), 69–74.

    Article  Google Scholar 

  2. Matsumoto K., Mihai I. and Oiagă A., Ricci curvature of submanifolds in complex space forms, Rev. Roum. Math. Pures Appl., (to appear).

    Google Scholar 

  3. Mihai I., Submanifolds of a Kaehler manifold, Academia Română, Mem. Secţ. St. 19 (1996), 129–134.

    Google Scholar 

  4. Miron R., The Geometry of Higher Order Lagrange Spaces. Applications to Mechanics and Physics, Kluwer Acad. Publ. FTPH 82, 1997.

    Google Scholar 

  5. Miron R., The Geometry of Higher Order Finsler Spaces, Hadronic Press. Inc. USA, 1998.

    Google Scholar 

  6. Miron R. and Anastasiei M., Vector Bundles and Lagrange Spaces with Applications to Relativity, Geometry Balkan Press, Bucureşti 1, 1997.

    Google Scholar 

  7. Miron R. and Anastasiei M., The Geometry of Lagrange Spaces: Theory and Applications, Kluwer Acad. Publ. FTPH 59, 1994.

    Google Scholar 

  8. Miron R, Hrimiuc D., Shimada H. and Sabău V.S., The Geometry of Hamilton and Lagrange Spaces, Kluwer Acad. Publ. FTPH, No. 118, 2001.

    Google Scholar 

  9. Tahara M. and Watanabe Y., Natural almost Hermitian, Hermitian and Kähler metrics on the tangent bundles, Math. J. Toyama Univ. 20 (1997), 149–160.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media New York

About this chapter

Cite this chapter

Miron, R., Matsumoto, K. (2003). The Almost Hermitian Structures Determined by the Riemannian Structures on the Tangent Bundle. In: Anastasiei, M., Antonelli, P.L. (eds) Finsler and Lagrange Geometries. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0405-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0405-2_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6325-0

  • Online ISBN: 978-94-017-0405-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics