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Volume 8
Issue 4
10.3390/math8040480
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Article

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

by
Gabriel Macsim
1,†,
Adela Mihai
2,† and
Ion Mihai
3,*,†
1
Doctoral School of Mathematics, University of Bucharest, 010014 Bucharest, Romania
2
Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
3
Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania
*
Author to whom correspondence should be addressed.
†
The authors contributed equally to this work.
Mathematics 2020, 8(4), 480; https://doi.org/10.3390/math8040480
Submission received: 27 February 2020 / Revised: 21 March 2020 / Accepted: 23 March 2020 / Published: 1 April 2020
(This article belongs to the Special Issue Inequalities in Geometry and Applications)
Versions Notes

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: δ(2,2)-invariant; Chen inequalities; Lagrangian submanifolds; quaternionic space forms; complex space forms δ(2,2)-invariant; Chen inequalities; Lagrangian submanifolds; quaternionic space forms; complex space forms

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MDPI and ACS Style

Macsim, G.; Mihai, A.; Mihai, I. δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms. Mathematics 2020, 8, 480. https://doi.org/10.3390/math8040480

AMA Style

Macsim G, Mihai A, Mihai I. δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms. Mathematics. 2020; 8(4):480. https://doi.org/10.3390/math8040480

Chicago/Turabian Style

Macsim, Gabriel, Adela Mihai, and Ion Mihai. 2020. "δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms" Mathematics 8, no. 4: 480. https://doi.org/10.3390/math8040480

APA Style

Macsim, G., Mihai, A., & Mihai, I. (2020). δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms. Mathematics, 8(4), 480. https://doi.org/10.3390/math8040480

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