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Isometric immersions of locally conformally Kähler manifolds

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Abstract

We investigate isometric immersions of locally conformally Kähler metrics into Hopf manifolds. In particular, we study Hopf-induced metrics on compact complex surfaces.

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Acknowledgements

The authors are very grateful to Andrea Loi and Liviu Ornea for the interest in their work and for all the stimulating conversations. We would also like to thank the anonymous referees for having pointed out some mistakes in a previous version and for their very useful suggestions.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Università degli Studi di Firenze, Viale Morgagni 67/a, 50134, Florence, Italy

    Daniele Angella

  2. Dipartimento di Scienze Matematiche, Fisiche ed Informatiche, Plesso Matematico e Informatico, Università di Parma, Parco Area Delle Scienze 53/A, 43124, Parma, Italy

    Michela Zedda

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  1. Daniele Angella
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  2. Michela Zedda
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Correspondence to Michela Zedda.

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The first-named author has been partially supported by Project PRIN “Varietá reali e complesse: geometria, topologia e analisi armonica,” by Project SIR2014 “Analytic aspects in complex and hypercomplex geometry” code RBSI14DYEB, and by the group GNSAGA of INdAM. The second-named author has been partially supported by the group GNSAGA of INdAM.

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Angella, D., Zedda, M. Isometric immersions of locally conformally Kähler manifolds. Ann Glob Anal Geom 56, 37–55 (2019). https://doi.org/10.1007/s10455-019-09655-y

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