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Lorentzian Slant Submanifolds in Indefinite Kähler Manifolds

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Complex Geometry of Slant Submanifolds

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Abstract

This chapter surveys some recent results on slant submanifolds in an indefinite kähler manifold, mainly including several fundamental and important classification results of Lorentzian slant surfaces in Lorentzian complex space forms.

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Acknowledgements

The authors would like to take this opportunity to appreciate Professor Bang-Yen Chen for his directions, encouragement, and help in the past ten years. The first author is supported by the NSFC (No.11601068), the General Project for Department of Liaoning Education (No.LN2019J05), Liaoning Provincial Science and Technology Department Project (No.2020-MS-340), and Liaoning BaiQianWan Talents Program. The second author is supported by the NSFC (No.11801246) and the General Project for Department of Liaoning Education (No. LJC201901).

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Authors and Affiliations

  1. School of Mathematics, Dongbei University of Finance and Economics, Dalian, 116025, People’s Republic of China

    Yu Fu

  2. School of Mathematics, Liaoning University, Shenyang, 110044, People’s Republic of China

    Dan Yang

Authors
  1. Yu Fu
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  2. Dan Yang
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Correspondence to Yu Fu .

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Editors and Affiliations

  1. Department of Mathematics, Michigan State University, East Lansing, MI, USA

    Bang-Yen Chen

  2. Department of Mathematics, Jamia Millia Islamia, New Delhi, Delhi, India

    Mohammad Hasan Shahid

  3. President, King Khalid University, Abha, Saudi Arabia

    Falleh Al-Solamy

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Fu, Y., Yang, D. (2022). Lorentzian Slant Submanifolds in Indefinite Kähler Manifolds. In: Chen, BY., Shahid, M.H., Al-Solamy, F. (eds) Complex Geometry of Slant Submanifolds. Springer, Singapore. https://doi.org/10.1007/978-981-16-0021-0_11

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