Differential Geometry: Structures on Manifolds and Submanifolds

doi:10.3390/books978-3-7258-2190-7

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Einstein manifold; mixed generalized quasi-Einstein manifold; Einstein’s field equation; energy–momentum tensor; general relativistic viscous fluid; Chen–Ricci inequality; Riemannian submersion; hemi-slant submersion; complex space form; Kähler manifold; Lorentzian manifolds; Ricci–Yamabe solitons; gradient Ricci–Yamabe solitons; perfect fluid spacetime; Einstein manifolds; Legendre curve; singularity; cusp; fold; swallowtail; slips; beaks; sharksfin; gradient estimate; weighted Laplacian; parabolic equation; geometric flow; RW space-times; Ricci semi-symmetric; Ricci recurrent; projective curvature tensor; Brownian motion; Lie group; heat kernel; Riemannian manifold; almost-contact manifold; cosymplectic manifold; co-Kähler manifold; quarter-symmetric connection; η-Einstein manifold; CR-product; CR-warped product; CR-slant warped product; Chen’s inequality; nearly Kaehler manifolds; nearly Sasakian space forms; locally symmetric manifold; k-nullity distribution; semi-symmetric manifold; Ricci-symmetric manifold; general (α,β)-spaces; mean Landsberg curvature; conformal transformations; warped product submanifolds; standard sphere; homology groups; fundamental group; stable currents; asymptotic curve; Bertrand mate; ruled surface; framed curve; spherical curve; helix; slant helix; rectifying curve; Lorentzian para-Sasakian manifolds; complete lifts; tangent bundle; quarter-symmetric non-metric connection; partial differential equations; mathematical operators; curvature tensor; projective Ricci tensor; Einstein manifold; metallic structure; tangent bundle; partial differential equations; nijenhuis tensor; mathematical operators; lie derivatives; warped products; Legendrian; Sasakian space form; Ricci curvature; ordinary differential equations; Riemannian invariants; Bochner operator formula; eigenvalues; Hermitian manifold; twisted product; holomorphic sectional curvature; Chern flat; Chern Ricci-flat; gradient Ricci soliton; Einstein manifold; conformal vector field; spacelike hypersurfaces with constant mean curvature

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Differential Geometry: Structures on Manifolds and Submanifolds

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October 2024

268 pages

ISBN978-3-7258-2189-1 (Hardback)
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https://doi.org/10.3390/books978-3-7258-2190-7

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This is a Reprint of the Special Issue Differential Geometry: Structures on Manifolds and Submanifolds that was published in

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Summary

This Special Issue presents recent developments in the field of structures on manifolds and their submanifolds. This volume covers a vast range of topics, including twister product Hermitian manifold, Legendrian warped product submanifold, Bertrand curve pair, CR-slant warped product, RW spacetime, Li–Yao-type gradient, Ricci–Yamabe solutions, etc., thus stimulating further research in this area.

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Differential Geometry: Structures on Manifolds and Submanifolds

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