Nash embedding theorems (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Nash embedding theorems" in English language version.

refsWebsite

Global rank English rank

13ams.org

451^st place

277^th place

8doi.org

2^nd place

2jstor.org

26^th place

20^th place

2arxiv.org

69^th place

59^th place

2semanticscholar.org

11^th place

8^th place

1harvard.edu

18^th place

17^th place

1web.archive.org

1^st place

1caltech.edu

887^th place

714^th place

ams.org

mathscinet.ams.org

Taylor 2011, pp. 147–151. Taylor, Michael E. (2011). Partial differential equations III. Nonlinear equations. Applied Mathematical Sciences. Vol. 117 (Second edition of 1996 original ed.). New York: Springer. doi:10.1007/978-1-4419-7049-7. ISBN 978-1-4419-7048-0. MR 2744149.
Eliashberg & Mishachev 2002, Chapter 21; Gromov 1986, Section 2.4.9. Eliashberg, Y.; Mishachev, N. (2002). Introduction to the h-principle. Graduate Studies in Mathematics. Vol. 48. Providence, RI: American Mathematical Society. doi:10.1090/gsm/048. ISBN 0-8218-3227-1. MR 1909245. Gromov, Mikhael (1986). Partial differential relations. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 9. Berlin: Springer-Verlag. doi:10.1007/978-3-662-02267-2. ISBN 3-540-12177-3. MR 0864505.
Nash 1954. Nash, John (1954). " $C 1$ isometric imbeddings". Annals of Mathematics. Second Series. 60 (3): 383–396. doi:10.2307/1969840. JSTOR 1969840. MR 0065993.
Kuiper 1955a; Kuiper 1955b. Kuiper, Nicolaas H. (1955a). "On $C 1$ -isometric imbeddings. I". Indagationes Mathematicae (Proceedings). 58: 545–556. doi:10.1016/S1385-7258(55)50075-8. MR 0075640. Kuiper, Nicolaas H. (1955b). "On $C 1$ -isometric imbeddings. II". Indagationes Mathematicae (Proceedings). 58: 683–689. doi:10.1016/S1385-7258(55)50093-X. MR 0075640.
Kobayashi & Nomizu 1969, Note 18. Kobayashi, Shoshichi; Nomizu, Katsumi (1969). Foundations of differential geometry. Vol II. Interscience Tracts in Pure and Applied Mathematics. Vol. 15. Reprinted in 1996. New York–London: John Wiley & Sons, Inc. ISBN 0-471-15732-5. MR 0238225.
Kobayashi & Nomizu 1969, Theorem VII.5.3. Kobayashi, Shoshichi; Nomizu, Katsumi (1969). Foundations of differential geometry. Vol II. Interscience Tracts in Pure and Applied Mathematics. Vol. 15. Reprinted in 1996. New York–London: John Wiley & Sons, Inc. ISBN 0-471-15732-5. MR 0238225.
Kobayashi & Nomizu 1969, Corollary VII.4.8. Kobayashi, Shoshichi; Nomizu, Katsumi (1969). Foundations of differential geometry. Vol II. Interscience Tracts in Pure and Applied Mathematics. Vol. 15. Reprinted in 1996. New York–London: John Wiley & Sons, Inc. ISBN 0-471-15732-5. MR 0238225.
Kobayashi & Nomizu 1969, Corollary VII.5.4 and Note 15. Kobayashi, Shoshichi; Nomizu, Katsumi (1969). Foundations of differential geometry. Vol II. Interscience Tracts in Pure and Applied Mathematics. Vol. 15. Reprinted in 1996. New York–London: John Wiley & Sons, Inc. ISBN 0-471-15732-5. MR 0238225.
Kobayashi & Nomizu 1969, Theorem VII.5.6. Kobayashi, Shoshichi; Nomizu, Katsumi (1969). Foundations of differential geometry. Vol II. Interscience Tracts in Pure and Applied Mathematics. Vol. 15. Reprinted in 1996. New York–London: John Wiley & Sons, Inc. ISBN 0-471-15732-5. MR 0238225.
Nash 1954, pp. 394–395. Nash, John (1954). " $C 1$ isometric imbeddings". Annals of Mathematics. Second Series. 60 (3): 383–396. doi:10.2307/1969840. JSTOR 1969840. MR 0065993.
De Lellis & Székelyhidi 2013; Isett 2018. De Lellis, Camillo; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows". Inventiones Mathematicae. 193 (2): 377–407. arXiv:1202.1751. Bibcode:2013InMat.193..377D. doi:10.1007/s00222-012-0429-9. MR 3090182. S2CID 2693636. Isett, Philip (2018). "A proof of Onsager's conjecture". Annals of Mathematics. Second Series. 188 (3): 871–963. arXiv:1608.08301. doi:10.4007/annals.2018.188.3.4. MR 3866888. S2CID 119267892. Archived from the original on 2022-10-11. Retrieved 2022-05-06.
Gromov 1986, Section 2.4. Gromov, Mikhael (1986). Partial differential relations. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 9. Berlin: Springer-Verlag. doi:10.1007/978-3-662-02267-2. ISBN 3-540-12177-3. MR 0864505.
Müller & Šverák 2003. Müller, S.; Šverák, V. (2003). "Convex integration for Lipschitz mappings and counterexamples to regularity". Annals of Mathematics. Second Series. 157 (3): 715–742. arXiv:math/0402287. doi:10.4007/annals.2003.157.715. MR 1983780. S2CID 55855605.

arxiv.org

De Lellis & Székelyhidi 2013; Isett 2018. De Lellis, Camillo; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows". Inventiones Mathematicae. 193 (2): 377–407. arXiv:1202.1751. Bibcode:2013InMat.193..377D. doi:10.1007/s00222-012-0429-9. MR 3090182. S2CID 2693636. Isett, Philip (2018). "A proof of Onsager's conjecture". Annals of Mathematics. Second Series. 188 (3): 871–963. arXiv:1608.08301. doi:10.4007/annals.2018.188.3.4. MR 3866888. S2CID 119267892. Archived from the original on 2022-10-11. Retrieved 2022-05-06.
Müller & Šverák 2003. Müller, S.; Šverák, V. (2003). "Convex integration for Lipschitz mappings and counterexamples to regularity". Annals of Mathematics. Second Series. 157 (3): 715–742. arXiv:math/0402287. doi:10.4007/annals.2003.157.715. MR 1983780. S2CID 55855605.

caltech.edu

authors.library.caltech.edu

De Lellis & Székelyhidi 2013; Isett 2018. De Lellis, Camillo; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows". Inventiones Mathematicae. 193 (2): 377–407. arXiv:1202.1751. Bibcode:2013InMat.193..377D. doi:10.1007/s00222-012-0429-9. MR 3090182. S2CID 2693636. Isett, Philip (2018). "A proof of Onsager's conjecture". Annals of Mathematics. Second Series. 188 (3): 871–963. arXiv:1608.08301. doi:10.4007/annals.2018.188.3.4. MR 3866888. S2CID 119267892. Archived from the original on 2022-10-11. Retrieved 2022-05-06.

doi.org

Taylor 2011, pp. 147–151. Taylor, Michael E. (2011). Partial differential equations III. Nonlinear equations. Applied Mathematical Sciences. Vol. 117 (Second edition of 1996 original ed.). New York: Springer. doi:10.1007/978-1-4419-7049-7. ISBN 978-1-4419-7048-0. MR 2744149.
Eliashberg & Mishachev 2002, Chapter 21; Gromov 1986, Section 2.4.9. Eliashberg, Y.; Mishachev, N. (2002). Introduction to the h-principle. Graduate Studies in Mathematics. Vol. 48. Providence, RI: American Mathematical Society. doi:10.1090/gsm/048. ISBN 0-8218-3227-1. MR 1909245. Gromov, Mikhael (1986). Partial differential relations. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 9. Berlin: Springer-Verlag. doi:10.1007/978-3-662-02267-2. ISBN 3-540-12177-3. MR 0864505.
Nash 1954. Nash, John (1954). " $C 1$ isometric imbeddings". Annals of Mathematics. Second Series. 60 (3): 383–396. doi:10.2307/1969840. JSTOR 1969840. MR 0065993.
Kuiper 1955a; Kuiper 1955b. Kuiper, Nicolaas H. (1955a). "On $C 1$ -isometric imbeddings. I". Indagationes Mathematicae (Proceedings). 58: 545–556. doi:10.1016/S1385-7258(55)50075-8. MR 0075640. Kuiper, Nicolaas H. (1955b). "On $C 1$ -isometric imbeddings. II". Indagationes Mathematicae (Proceedings). 58: 683–689. doi:10.1016/S1385-7258(55)50093-X. MR 0075640.
Nash 1954, pp. 394–395. Nash, John (1954). " $C 1$ isometric imbeddings". Annals of Mathematics. Second Series. 60 (3): 383–396. doi:10.2307/1969840. JSTOR 1969840. MR 0065993.
De Lellis & Székelyhidi 2013; Isett 2018. De Lellis, Camillo; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows". Inventiones Mathematicae. 193 (2): 377–407. arXiv:1202.1751. Bibcode:2013InMat.193..377D. doi:10.1007/s00222-012-0429-9. MR 3090182. S2CID 2693636. Isett, Philip (2018). "A proof of Onsager's conjecture". Annals of Mathematics. Second Series. 188 (3): 871–963. arXiv:1608.08301. doi:10.4007/annals.2018.188.3.4. MR 3866888. S2CID 119267892. Archived from the original on 2022-10-11. Retrieved 2022-05-06.
Gromov 1986, Section 2.4. Gromov, Mikhael (1986). Partial differential relations. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 9. Berlin: Springer-Verlag. doi:10.1007/978-3-662-02267-2. ISBN 3-540-12177-3. MR 0864505.
Müller & Šverák 2003. Müller, S.; Šverák, V. (2003). "Convex integration for Lipschitz mappings and counterexamples to regularity". Annals of Mathematics. Second Series. 157 (3): 715–742. arXiv:math/0402287. doi:10.4007/annals.2003.157.715. MR 1983780. S2CID 55855605.

harvard.edu

ui.adsabs.harvard.edu

De Lellis & Székelyhidi 2013; Isett 2018. De Lellis, Camillo; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows". Inventiones Mathematicae. 193 (2): 377–407. arXiv:1202.1751. Bibcode:2013InMat.193..377D. doi:10.1007/s00222-012-0429-9. MR 3090182. S2CID 2693636. Isett, Philip (2018). "A proof of Onsager's conjecture". Annals of Mathematics. Second Series. 188 (3): 871–963. arXiv:1608.08301. doi:10.4007/annals.2018.188.3.4. MR 3866888. S2CID 119267892. Archived from the original on 2022-10-11. Retrieved 2022-05-06.

jstor.org

Nash 1954. Nash, John (1954). " $C 1$ isometric imbeddings". Annals of Mathematics. Second Series. 60 (3): 383–396. doi:10.2307/1969840. JSTOR 1969840. MR 0065993.
Nash 1954, pp. 394–395. Nash, John (1954). " $C 1$ isometric imbeddings". Annals of Mathematics. Second Series. 60 (3): 383–396. doi:10.2307/1969840. JSTOR 1969840. MR 0065993.

semanticscholar.org

api.semanticscholar.org

De Lellis & Székelyhidi 2013; Isett 2018. De Lellis, Camillo; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows". Inventiones Mathematicae. 193 (2): 377–407. arXiv:1202.1751. Bibcode:2013InMat.193..377D. doi:10.1007/s00222-012-0429-9. MR 3090182. S2CID 2693636. Isett, Philip (2018). "A proof of Onsager's conjecture". Annals of Mathematics. Second Series. 188 (3): 871–963. arXiv:1608.08301. doi:10.4007/annals.2018.188.3.4. MR 3866888. S2CID 119267892. Archived from the original on 2022-10-11. Retrieved 2022-05-06.
Müller & Šverák 2003. Müller, S.; Šverák, V. (2003). "Convex integration for Lipschitz mappings and counterexamples to regularity". Annals of Mathematics. Second Series. 157 (3): 715–742. arXiv:math/0402287. doi:10.4007/annals.2003.157.715. MR 1983780. S2CID 55855605.

web.archive.org

De Lellis & Székelyhidi 2013; Isett 2018. De Lellis, Camillo; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows". Inventiones Mathematicae. 193 (2): 377–407. arXiv:1202.1751. Bibcode:2013InMat.193..377D. doi:10.1007/s00222-012-0429-9. MR 3090182. S2CID 2693636. Isett, Philip (2018). "A proof of Onsager's conjecture". Annals of Mathematics. Second Series. 188 (3): 871–963. arXiv:1608.08301. doi:10.4007/annals.2018.188.3.4. MR 3866888. S2CID 119267892. Archived from the original on 2022-10-11. Retrieved 2022-05-06.