Splitting theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Splitting theorem" in English language version.

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7ams.org

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7zbmath.org

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6doi.org

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ams.org

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Besse 1987, Definition 6.64; Petersen 2016, p. 298; Schoen & Yau 1994, p. 12. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, Section 6E; Petersen 2016, Theorem 7.3.5; Schoen & Yau 1994, Section 1.2. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, Section 6G; Petersen 2016, Section 7.3; Schoen & Yau 1994, Section 1.2. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Schoen & Yau 1994, Section 1.2. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, p. 176. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001.
Petersen 2016, Section 7.3.3. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001.
Beem, Ehrlich & Easley 1996, Chapter 14. Beem, John K.; Ehrlich, Paul E.; Easley, Kevin L. (1996). Global Lorentzian geometry. Monographs and Textbooks in Pure and Applied Mathematics. Vol. 202 (Second edition of 1981 original ed.). New York: Marcel Dekker, Inc. doi:10.1201/9780203753125. ISBN 0-8247-9324-2. MR 1384756. Zbl 0846.53001.

doi.org

Besse 1987, Definition 6.64; Petersen 2016, p. 298; Schoen & Yau 1994, p. 12. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, Section 6E; Petersen 2016, Theorem 7.3.5; Schoen & Yau 1994, Section 1.2. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, Section 6G; Petersen 2016, Section 7.3; Schoen & Yau 1994, Section 1.2. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, p. 176. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001.
Petersen 2016, Section 7.3.3. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001.
Beem, Ehrlich & Easley 1996, Chapter 14. Beem, John K.; Ehrlich, Paul E.; Easley, Kevin L. (1996). Global Lorentzian geometry. Monographs and Textbooks in Pure and Applied Mathematics. Vol. 202 (Second edition of 1981 original ed.). New York: Marcel Dekker, Inc. doi:10.1201/9780203753125. ISBN 0-8247-9324-2. MR 1384756. Zbl 0846.53001.

zbmath.org

Besse 1987, Definition 6.64; Petersen 2016, p. 298; Schoen & Yau 1994, p. 12. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, Section 6E; Petersen 2016, Theorem 7.3.5; Schoen & Yau 1994, Section 1.2. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, Section 6G; Petersen 2016, Section 7.3; Schoen & Yau 1994, Section 1.2. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Schoen & Yau 1994, Section 1.2. Schoen, R.; Yau, S.-T. (1994). Lectures on differential geometry. Conference Proceedings and Lecture Notes in Geometry and Topology. Vol. 1. Translated by Ding, Wei Yue; Cheng, S. Y. Cambridge, MA: International Press. ISBN 1-57146-012-8. MR 1333601. Zbl 0830.53001.
Besse 1987, p. 176. Besse, Arthur L. (1987). Einstein manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 10. Reprinted in 2008. Berlin: Springer-Verlag. doi:10.1007/978-3-540-74311-8. ISBN 3-540-15279-2. MR 0867684. Zbl 0613.53001.
Petersen 2016, Section 7.3.3. Petersen, Peter (2016). Riemannian geometry. Graduate Texts in Mathematics. Vol. 171 (Third edition of 1998 original ed.). Springer, Cham. doi:10.1007/978-3-319-26654-1. ISBN 978-3-319-26652-7. MR 3469435. Zbl 1417.53001.
Beem, Ehrlich & Easley 1996, Chapter 14. Beem, John K.; Ehrlich, Paul E.; Easley, Kevin L. (1996). Global Lorentzian geometry. Monographs and Textbooks in Pure and Applied Mathematics. Vol. 202 (Second edition of 1981 original ed.). New York: Marcel Dekker, Inc. doi:10.1201/9780203753125. ISBN 0-8247-9324-2. MR 1384756. Zbl 0846.53001.