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Submanifolds in Metric Manifolds
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The present reprint contains articles accepted and published in the Special Issue “Submanifolds in Metric Manifolds” of the MDPI journal Mathematics; said articles cover a wide range of topics connected to the theory and applications of the geometry of manifolds and their submanifolds, alongside the geometrical and topological structures of submanifolds endowed by special structures in manifolds . The 11 articles in the present reprint were published in volumes 9 (2021) to 11 (2023) of Mathematics. The topics covered in this Special Issue include (but are not limited to) Riemannian and semi-Riemannian geometry, symplectic geometry, contact geometry, and complex and K\"{a}hler geometry. We hope that this volume will be both interesting and useful to researchers working in the fields of differential geometry and mathematical physics.
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Keywords
- (pseudo-)Riemannian manifold
- ??,p structure
- affine connection
- almost complex structure
- almost product structure
- almost-contact metric manifold
- Boltzmann–Gibbs–Shannon entropy
- chemical thermodynamics
- Chi ratio
- Codazzi pair
- codazzi type tensor
- complex projective spaces
- complex space form
- Dirichlet energy
- first natural connection
- free energy
- general natural metric
- Gibbs–Helmholtz equation
- golden structure
- heat (thermal) capacity
- homology groups
- homotopy
- Information geometry
- kinetic energy
- lightlike hypersurface
- meta-Golden structure
- n/a
- natural connection
- nearly Kähler statistical manifold
- nearly Sasakian statistical manifold
- pressure
- quasi-statistical manifold
- Reeb-flow-invariant ?-Ricci operator
- Reeb-parallel ?-Ricci operator
- Ricci soliton
- Riemannian ?-manifolds
- Riemannian manifold
- Riemannian submersion
- schouten tensor
- Schouten–van Kampen connection
- semi-symmetric ?-Ricci tensor
- singular-unit normal vector field
- sphere theorem
- sphere theorems
- stable currents
- statistical manifold
- submanifold
- tangent bundle
- temperature
- thema EDItEUR::U Computing and Information Technology
- thema EDItEUR::U Computing and Information Technology::UY Computer science
- thermal pressure coefficient
- volume
- warped product submanifolds
- Z symmetric spacetimes
- Z-symmetric tensor
Links
DOI: 10.3390/books978-3-7258-0894-6Editions