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math.DG2026
Casorati inequalities along vertical and horizontal distributions of pointwise slant riemannian submersions
Tanveer Fatima, Sana Abdulkarem Alharbi, Sharief Deshmukh
We establish optimal Casorati inequalities for pointwise slant Riemannian submersions. As such a submersion carries two distinct distributions, the vertical, tangent to the fibers,…
math.DG2026
Non-compact Ricci Solitons of Finite Volume with Potential Field of Constant Length
Hemangi Madhusudan Shah, Sharief Deshmukh, Mohammad Aqib
We study non-compact Ricci solitons of finite volume whose potential vector field has constant length. Under the assumptions that the scalar curvature is constant along the integra…