Bounds on Ricci curvature for doubly warped products pointwise bi-slant submanifolds and applications to physics
نویسندگان
چکیده
In this article, we obtain bounds for Ricci curvature doubly warped products pointwise bi-slant submanifolds in generalized complex space forms and discuss the equality case of inequality. We also derive non-existence such immersions. Finally, construct some applications result terms Harmonic function, Hessian tensor, Dirchilet energy function.
منابع مشابه
Ricci Curvature of Quaternion Slant Submanifolds in Quaternion Space Forms
In this article, we obtain sharp estimate of the Ricci curvature of quaternion slant, bi-slant and semi-slant submanifolds in a quaternion space form, in terms of the squared mean curvature.
متن کاملLower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your perso...
متن کاملOn Doubly Warped and Doubly Twisted Product Submanifolds
In the present note we study the existence or non-existence of doubly warped and doubly twisted product CR-submanifolds in nearly Kaehler manifolds.
متن کاملRICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM
Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...
متن کاملApproximating Coarse Ricci Curvature on Metric Measure Spaces with Applications to Submanifolds of Euclidean Space
For a submanifold Σ ⊂ R Belkin and Niyogi showed that one can approximate the Laplacian operator using heat kernels. Using a definition of coarse Ricci curvature derived by iterating Laplacians, we approximate the coarse Ricci curvature of submanifolds Σ in the same way. More generally, on any metric measure we are able to approximate a 1-parameter family of coarse Ricci functions that include ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2302505a