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δ (2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms

Author

Listed:
  • Gabriel Macsim

    (Doctoral School of Mathematics, University of Bucharest, 010014 Bucharest, Romania
    The authors contributed equally to this work.)

  • Adela Mihai

    (Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
    The authors contributed equally to this work.)

  • Ion Mihai

    (Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania
    The authors contributed equally to this work.)

Abstract

In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for the Chen invariant δ ( 2 , 2 ) on Lagrangian submanifolds in quaternionic space forms, regarded as a problem of constrained maxima.

Suggested Citation

  • Gabriel Macsim & Adela Mihai & Ion Mihai, 2020. "δ (2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms," Mathematics, MDPI, vol. 8(4), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:480-:d:339983
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