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Talk:Finsler manifold

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This page calls for elaboration by the specialists. It might also be beneficial to create a handful of related articles to cover the central features of Finsler geometry. Here is a crude list of possible topics:
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What is a Minkowski norm? "Minkowski norm" redirects to "Minkowski space". But the 'norm' associated to the Minkowski inner product is obviously not the thing meant in this article. --
249:. I do think at the very least that Finsler structures should be represented in that article, although it should probably be treated separately from the Riemannian case, per 235:
article, although I only stated the Sasakian property for the Riemannian case. If incorporated here, it should probably be developed in concert with that article.
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Article(s) on different linear Finsler connections (Berwald, Cartan, Chern, Hashiguchi) on the pullback bundle.
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Non-Riemannian curvatures and classification of Finsler manifolds (Berwald, Landberg, Randers,...)
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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This looks like an excellent project. I have some thoughts, in no particular order:
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The geodesic spray for a Riemannian metric is discussed briefly at
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Induced geometric structures (Sasaki metric and symplectic form on
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Own article for Minkowski norms with more explanation and examples.
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Here is another list for possible new sections within this page:
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The various associated connections can be incorporated into the
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Results from Riemannian geometry that hold for Finsler manifolds
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Note that there is something on Finsler structures at the
101:, a collaborative effort to improve the coverage of 253:considerations. There is a longer article on 8: 176:Article on nonlinear (spray) connections on 19: 47: 203:Finsler manifolds as (quasi)metric spaces 49: 257:which could be linked up with this. 7: 158:On Finsler-geometry related articles 95:This article is within the scope of 279:I have started a proper article at 38:It is of interest to the following 170:Article on (semi)spray structures. 14: 335:Mid-priority mathematics articles 240:Category:Connection (mathematics) 115:Knowledge:WikiProject Mathematics 330:Start-Class mathematics articles 118:Template:WikiProject Mathematics 82: 72: 51: 20: 173:Article on Lagrangian geometry. 135:This article has been rated as 255:geodesics as Hamiltonian flows 1: 109:and see a list of open tasks. 195:\0 and contact structure on 297:22:10, 20 August 2009 (UTC) 267:14:33, 19 August 2009 (UTC) 223:19:54, 17 August 2009 (UTC) 351: 134: 67: 46: 316:19:15, 1 July 2010 (UTC) 141:project's priority scale 98:WikiProject Mathematics 28:This article is rated 121:mathematics articles 281:spray (mathematics) 233:unit tangent bundle 90:Mathematics portal 34:content assessment 155: 154: 151: 150: 147: 146: 342: 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 350: 349: 345: 344: 343: 341: 340: 339: 320: 319: 304: 277: 275:Progress report 251:WP:UNDUE WEIGHT 204: 160: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 348: 346: 338: 337: 332: 322: 321: 303: 302:Minkowski norm 300: 289:Sławomir Biały 276: 273: 272: 271: 270: 269: 259:Sławomir Biały 243: 236: 212: 211: 208: 205: 202: 200: 185: 184: 181: 174: 171: 168: 159: 156: 153: 152: 149: 148: 145: 144: 133: 127: 126: 124: 107:the discussion 94: 93: 77: 65: 64: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 347: 336: 333: 331: 328: 327: 325: 318: 317: 313: 309: 301: 299: 298: 294: 290: 286: 282: 274: 268: 264: 260: 256: 252: 248: 244: 241: 237: 234: 230: 229: 227: 226: 225: 224: 220: 216: 209: 206: 201: 198: 194: 190: 189: 188: 182: 179: 175: 172: 169: 166: 165: 164: 157: 142: 138: 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 305: 278: 213: 196: 192: 186: 177: 161: 137:Mid-priority 136: 96: 62:Mid‑priority 40:WikiProjects 112:Mathematics 103:mathematics 59:Mathematics 30:Start-class 324:Categories 215:Lapasotka 308:Trigamma 285:geodesic 247:geodesic 139:on the 36:scale. 312:talk 293:talk 263:talk 219:talk 287:. 180:\0. 131:Mid 326:: 314:) 295:) 265:) 221:) 197:SM 193:TM 178:TM 310:( 291:( 261:( 242:. 217:( 199:) 143:. 42::

Index


content assessment
WikiProjects
WikiProject icon
Mathematics
WikiProject icon
icon
Mathematics portal
WikiProject Mathematics
mathematics
the discussion
Mid
project's priority scale
Lapasotka
talk
19:54, 17 August 2009 (UTC)
unit tangent bundle
Category:Connection (mathematics)
geodesic
WP:UNDUE WEIGHT
geodesics as Hamiltonian flows
Sławomir Biały
talk
14:33, 19 August 2009 (UTC)
spray (mathematics)
geodesic
Sławomir Biały
talk
22:10, 20 August 2009 (UTC)
Trigamma

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