Skip to main content
SpringerLink
Log in

Remarks on Einstein-like Hermitian manifolds

  • Published:
Periodica Mathematica Hungarica Aims and scope Submit manuscript

Abstract

We investigate some relations among Einstein-like conditions on Hermitian manifolds.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. Apostolov and P. Gauduchon, The Riemannian Goldberg-Sachs Theorem, Internat. J. Math., 8 (1997), 421–439.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. L. Besse, Einstein Manifolds, Springer, Berlin, 1987.

    MATH  Google Scholar 

  3. E. Calabi and B. Eckmann, A class of compact, complex manifolds which are not algebraic, Ann. Math., 58 (1953), 494–500.

    Article  MathSciNet  Google Scholar 

  4. C. Duran and S. Simanca, Hermitian metrics on Calabi-Eckmann manifolds, Differential Geom. Appl., 17 (2002), 55–67.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Grantcharov and O. Muskalov, Hermitian *-Einstein surfaces, Proc. Amer. Math. Soc., 120 (1994), 233–239.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Kim, On Einstein Hermitian manifolds II, Bull. Korean Math. Soc., 46 (2009), 289–294.

    Article  MATH  MathSciNet  Google Scholar 

  7. J. Kim, Rigidity theorems for Einstein-Thorpe metrics, Geom. Dedicata, 80 (2000), 281–287.

    Article  MATH  MathSciNet  Google Scholar 

  8. T. Sato, Almost Hermitian structures induced from a Kähler structure which has constant holomorphic sectional curvature, Proc. Amer. Math. Soc., 131 (2003), 2903–2909.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics Education, Kangwon National University Chunchon, 200-701, Kangwon Do, Korea

    Jaeman Kim

Authors
  1. Jaeman Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jaeman Kim.

Additional information

Communicated by János Szenthe

This study is supported by Kangwon National University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, J. Remarks on Einstein-like Hermitian manifolds. Period Math Hung 60, 71–80 (2010). https://doi.org/10.1007/s10998-010-1071-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10998-010-1071-1

Mathematics subject classification numbers

Key words and phrases

Search

Navigation