Gabriel Macsim
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View article: δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms
δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms Open
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…
View article: An Inequality on Quaternionic CR-Submanifolds
An Inequality on Quaternionic CR-Submanifolds Open
We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR -submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrain…
View article: A δ-Invariant for QR-Submanifolds in Quaternion Space Forms
A δ-Invariant for QR-Submanifolds in Quaternion Space Forms Open
Starting from an inequality involving the invariant δ(D) for an anti-holomorphic submanifold of a complex space form [1] and using optimization methods on Riemannian manifolds, we establish a corresponding inequality for the invariant δ(D …
View article: IMPROVED CHEN’S INEQUALITIES FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS
IMPROVED CHEN’S INEQUALITIES FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS Open
Riemannian invariants (in particular Chen invariants) play an important role in the theory of submanifolds. They are very useful in providing relationships between the extrinsic and intrinsic invariants of a submanifold. On the other hand,…