Submanifolds in Metric Manifolds
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...
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| Formato: | Online |
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| Idioma: | inglês |
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MDPI - Multidisciplinary Digital Publishing Institute
2024
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| Acesso em linha: | ONIX_20240704_9783725808939_13 |
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| _version_ | 1869516941184466944 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-139217 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1392172024-07-04T09:28:49Z Submanifolds in Metric Manifolds Hretcanu, Cristina-Elena Riemannian submersion submanifold almost-contact metric manifold Ricci soliton warped product submanifolds complex projective spaces homology groups homotopy sphere theorems stable currents kinetic energy complex space form Homology groups sphere theorem Dirichlet energy schouten tensor Z-symmetric tensor codazzi type tensor Z symmetric spacetimes Reeb-flow-invariant ?-Ricci operator Reeb-parallel ?-Ricci operator semi-symmetric ?-Ricci tensor singular-unit normal vector field first natural connection affine connection natural connection Riemannian ?-manifolds information geometry nearly Kähler statistical manifold nearly Sasakian statistical manifold almost product structure almost complex structure ??,p structure Riemannian manifold Gibbs–Helmholtz equation free energy pressure volume temperature Boltzmann–Gibbs–Shannon entropy heat (thermal) capacity thermal pressure coefficient chemical thermodynamics (pseudo-)Riemannian manifold Codazzi pair statistical manifold quasi-statistical manifold Schouten–van Kampen connection tangent bundle general natural metric Chi ratio golden structure meta-Golden structure lightlike hypersurface n/a thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science 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. 2024-07-04T09:28:46Z 2024-07-04T09:28:46Z 2024 book ONIX_20240704_9783725808939_13 9783725808939 9783725808946 https://directory.doabooks.org/handle/20.500.12854/139217 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9212 https://mdpi.com/books/pdfview/book/9212 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-0894-6 10.3390/books978-3-7258-0894-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725808939 9783725808946 180 open access |
| spellingShingle | Riemannian submersion submanifold almost-contact metric manifold Ricci soliton warped product submanifolds complex projective spaces homology groups homotopy sphere theorems stable currents kinetic energy complex space form Homology groups sphere theorem Dirichlet energy schouten tensor Z-symmetric tensor codazzi type tensor Z symmetric spacetimes Reeb-flow-invariant ?-Ricci operator Reeb-parallel ?-Ricci operator semi-symmetric ?-Ricci tensor singular-unit normal vector field first natural connection affine connection natural connection Riemannian ?-manifolds information geometry nearly Kähler statistical manifold nearly Sasakian statistical manifold almost product structure almost complex structure ??,p structure Riemannian manifold Gibbs–Helmholtz equation free energy pressure volume temperature Boltzmann–Gibbs–Shannon entropy heat (thermal) capacity thermal pressure coefficient chemical thermodynamics (pseudo-)Riemannian manifold Codazzi pair statistical manifold quasi-statistical manifold Schouten–van Kampen connection tangent bundle general natural metric Chi ratio golden structure meta-Golden structure lightlike hypersurface n/a thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science Submanifolds in Metric Manifolds |
| title | Submanifolds in Metric Manifolds |
| title_full | Submanifolds in Metric Manifolds |
| title_fullStr | Submanifolds in Metric Manifolds |
| title_full_unstemmed | Submanifolds in Metric Manifolds |
| title_short | Submanifolds in Metric Manifolds |
| title_sort | submanifolds in metric manifolds |
| topic | Riemannian submersion submanifold almost-contact metric manifold Ricci soliton warped product submanifolds complex projective spaces homology groups homotopy sphere theorems stable currents kinetic energy complex space form Homology groups sphere theorem Dirichlet energy schouten tensor Z-symmetric tensor codazzi type tensor Z symmetric spacetimes Reeb-flow-invariant ?-Ricci operator Reeb-parallel ?-Ricci operator semi-symmetric ?-Ricci tensor singular-unit normal vector field first natural connection affine connection natural connection Riemannian ?-manifolds information geometry nearly Kähler statistical manifold nearly Sasakian statistical manifold almost product structure almost complex structure ??,p structure Riemannian manifold Gibbs–Helmholtz equation free energy pressure volume temperature Boltzmann–Gibbs–Shannon entropy heat (thermal) capacity thermal pressure coefficient chemical thermodynamics (pseudo-)Riemannian manifold Codazzi pair statistical manifold quasi-statistical manifold Schouten–van Kampen connection tangent bundle general natural metric Chi ratio golden structure meta-Golden structure lightlike hypersurface n/a thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | Riemannian submersion submanifold almost-contact metric manifold Ricci soliton warped product submanifolds complex projective spaces homology groups homotopy sphere theorems stable currents kinetic energy complex space form Homology groups sphere theorem Dirichlet energy schouten tensor Z-symmetric tensor codazzi type tensor Z symmetric spacetimes Reeb-flow-invariant ?-Ricci operator Reeb-parallel ?-Ricci operator semi-symmetric ?-Ricci tensor singular-unit normal vector field first natural connection affine connection natural connection Riemannian ?-manifolds information geometry nearly Kähler statistical manifold nearly Sasakian statistical manifold almost product structure almost complex structure ??,p structure Riemannian manifold Gibbs–Helmholtz equation free energy pressure volume temperature Boltzmann–Gibbs–Shannon entropy heat (thermal) capacity thermal pressure coefficient chemical thermodynamics (pseudo-)Riemannian manifold Codazzi pair statistical manifold quasi-statistical manifold Schouten–van Kampen connection tangent bundle general natural metric Chi ratio golden structure meta-Golden structure lightlike hypersurface n/a thema EDItEUR::U Computing and Information Technology thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20240704_9783725808939_13 |