Geodesic
Analysis of stable currents and homology of biwarped product submanifolds in the Euclidean space
Filomat, Tome 37 (2023) no. 21, p. 7105

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DOI

This paper examines the topological features of the compact biwarped product submanifolds of a space form with vanishing constant sectional curvature. More precisely, we show that stable integral p− current does not exist in a compact oriented biwarped product submanifold in an Euclidean space that meets some geometric conditions based on Laplacian of warping functions, slant functions. Simultaneously, it is shown that their homology group are zero under these geometric conditions. Additionally, some special cases are also described.
DOI : 10.2298/FIL2321105K
Classification : 53B50, 53C20, 53C40
Keywords: warped product manifolds, integral p-currents, biwarped product, Euclidean space 
Meraj Ali Khan; Cenep Ozel; Mohd Danish Siddiqi; Sudhakar Kumar Chaubeyi; Sadia Samar Ali. Analysis of stable currents and homology of biwarped product submanifolds in the Euclidean space. Filomat, Tome 37 (2023) no. 21, p. 7105 . doi: 10.2298/FIL2321105K
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     title = {Analysis of stable currents and homology of biwarped product submanifolds in the {Euclidean} space},
     journal = {Filomat},
     pages = {7105 },
     year = {2023},
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     number = {21},
     doi = {10.2298/FIL2321105K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321105K/}
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