Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chen's inequality in Lagrangian case   In the theory of submanifolds, the following problem is fundamental: to
establish simple relationships between the main intrinsic invariants and the
main extrinsic invariants of the submanifolds.The basic relationships
discovered until now [1, 2, 3, 4] are inequalities. To analyze these problems,
we follow the idea of C. Udriste [6, 7, 8] that the method of constrained
extremum is a natural way to prove geometric inequalities. We improve the
Chen's inequality which characterizes a totally real submanifold of a complex
space form. For that we suppose that the submanifold is Lagrangian and we
formulate and analyze a suitable constrained extremum problem.

5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat