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

Gabriel Macsim, Adela Mihai and Ion Mihai
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Gabriel Macsim: Doctoral School of Mathematics, University of Bucharest, 010014 Bucharest, Romania
Adela Mihai: Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
Ion Mihai: Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania

Mathematics, 2020, vol. 8, issue 4, 1-15

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.

Keywords: ? (2,2)-invariant; Chen inequalities; Lagrangian submanifolds; quaternionic space forms; complex space forms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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