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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 13th 2015
   • PermaLink
   Author: Urs
   Format: MarkdownItexcreated a bare minimum at _[[harmonic map]]_ (for the moment just so as to have a place to record the reference given there)

   created a bare minimum at harmonic map (for the moment just so as to have a place to record the reference given there)

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 18th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Fanghua Lin, Changyou Wang: *The Analysis of Harmonic Maps and Their Heat Flows*, World Scientific (2008) &lbrack;[doi:10.1142/6679](https://doi.org/10.1142/6679)&rbrack; * [[Jürgen Jost]], Ch. 9 in: *Riemannian Geometry and Geometric Analysis*, Springer (2017) &lbrack;[doi:10.1007/978-3-319-61860-9](https://doi.org/10.1007/978-3-319-61860-9)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/harmonic+map/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/harmonic+map/6">v6</a>, <a href="https://ncatlab.org/nlab/show/harmonic+map">current</a>

   added pointer to:

   • Fanghua Lin, Changyou Wang: The Analysis of Harmonic Maps and Their Heat Flows, World Scientific (2008) [doi:10.1142/6679]

   • Jürgen Jost, Ch. 9 in: Riemannian Geometry and Geometric Analysis, Springer (2017) [doi:10.1007/978-3-319-61860-9]

   diff, v6, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 19th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Frédéric Hélein]], John C. Wood: *Harmonic maps*, in: *Handbook of Global Analysis*, Elsevier (2008) 417-491 \[<a href="https://doi.org/10.1016/B978-044452833-9.50009-7">doi:10.1016/B978-044452833-9.50009-7</a>, [pdf](https://math.jhu.edu/~js/Math748/helein.harmonic.pdf)\] <a href="https://ncatlab.org/nlab/revision/diff/harmonic+map/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/harmonic+map/8">v8</a>, <a href="https://ncatlab.org/nlab/show/harmonic+map">current</a>

   added pointer to:

   • Frédéric Hélein, John C. Wood: Harmonic maps, in: Handbook of Global Analysis, Elsevier (2008) 417-491 [doi:10.1016/B978-044452833-9.50009-7, pdf]

   diff, v8, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJun 20th 2024
   • (edited Jun 20th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[James Eells]], [[Joseph H. Sampson]], *Harmonic Mappings of Riemannian Manifolds*, American Journal of Mathematics **86** 1 (1964) 109-160 &lbrack;[doi:10.2307/2373037](https://doi.org/10.2307/2373037), [jstor:2373037](https://www.jstor.org/stable/2373037)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/harmonic+map/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/harmonic+map/9">v9</a>, <a href="https://ncatlab.org/nlab/show/harmonic+map">current</a>

   added pointer to:

   • James Eells, Joseph H. Sampson, Harmonic Mappings of Riemannian Manifolds, American Journal of Mathematics 86 1 (1964) 109-160 [doi:10.2307/2373037, jstor:2373037]

   diff, v9, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJun 20th 2024
   • (edited Jun 20th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexalso to: * Yuan-Jen Chiang, Andrea Ratto: *Paying Tribute to James Eells and Joseph H. Sampson: In Commemoration of the Fiftieth Anniversary of Their Pioneering Work on Harmonic Maps*, Notices of the AMS **62** 4 (2015) &lbrack;[pdf](https://www.ams.org/notices/201504/rnoti-p388.pdf), full issue: [pdf](http://www.ams.org/notices/201504/201504FullIssue.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/harmonic+map/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/harmonic+map/9">v9</a>, <a href="https://ncatlab.org/nlab/show/harmonic+map">current</a>

   also to:

   • Yuan-Jen Chiang, Andrea Ratto: Paying Tribute to James Eells and Joseph H. Sampson: In Commemoration of the Fiftieth Anniversary of Their Pioneering Work on Harmonic Maps, Notices of the AMS 62 4 (2015) [pdf, full issue: pdf]

   diff, v9, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJun 20th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexand this one: * [[Paul Baird]], [[John C. Wood]], *Harmonic Morphisms Between Riemannian Manifolds*, Oxford University Press (2003) &lbrack;[doi:10.1093/acprof:oso/9780198503620.001.0001](https://doi.org/10.1093/acprof:oso/9780198503620.001.0001)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/harmonic+map/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/harmonic+map/9">v9</a>, <a href="https://ncatlab.org/nlab/show/harmonic+map">current</a>

   and this one:

   • Paul Baird, John C. Wood, Harmonic Morphisms Between Riemannian Manifolds, Oxford University Press (2003) [doi:10.1093/acprof:oso/9780198503620.001.0001]

   diff, v9, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeJun 21st 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/harmonic+map#HarmonicEquation)) the statement that Riemannian immersions are harmonic iff their "tension field" vanishes. <a href="https://ncatlab.org/nlab/revision/diff/harmonic+map/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/harmonic+map/10">v10</a>, <a href="https://ncatlab.org/nlab/show/harmonic+map">current</a>

   added (here) the statement that Riemannian immersions are harmonic iff their “tension field” vanishes.

   diff, v10, current