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Lee Hwa Chung theorem

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Hwa-Chung, Lee, "The Universal Integral Invariants of Hamiltonian Systems and Application to the Theory of Canonical Transformations", Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, 62(03), 237–246.
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Characterizes differential k-forms which are invariant for all Hamiltonian vector fields
261: 304: 249: 24: 172:{\displaystyle \alpha =c\times \omega ^{\wedge {\frac {k}{2}}}} 265: 185: 136: 98: 52: 202: 171: 110: 58: 233:. Graduate-level textbook on smooth manifolds. 285: 8: 292: 278: 193: 192: 184: 157: 153: 135: 97: 51: 7: 246: 244: 237:doi:10.1017/s0080454100006646  225:, Springer-Verlag, New York (2003) 203:{\displaystyle c\in \mathbb {R} .} 14: 316:Theorems in differential geometry 34:The statement is as follows. Let 248: 223:Introduction to Smooth Manifolds 1: 264:. You can help Knowledge by 321:Differential geometry stubs 78:which is invariant for all 337: 243: 111:{\displaystyle \alpha =0.} 80:Hamiltonian vector fields 59:{\displaystyle \alpha } 260:-related article is a 204: 173: 112: 60: 258:differential geometry 205: 174: 113: 61: 42:with symplectic form 21:Lee Hwa Chung theorem 183: 134: 96: 50: 311:Symplectic topology 40:symplectic manifold 29:symplectic topology 200: 169: 108: 56: 273: 272: 165: 328: 294: 287: 280: 252: 245: 209: 207: 206: 201: 196: 178: 176: 175: 170: 168: 167: 166: 158: 117: 115: 114: 109: 65: 63: 62: 57: 336: 335: 331: 330: 329: 327: 326: 325: 301: 300: 299: 298: 241: 218: 181: 180: 149: 132: 131: 94: 93: 48: 47: 17: 12: 11: 5: 334: 332: 324: 323: 318: 313: 303: 302: 297: 296: 289: 282: 274: 271: 270: 253: 239: 238: 234: 221:Lee, John M., 217: 214: 213: 212: 211: 210: 199: 195: 191: 188: 164: 161: 156: 152: 148: 145: 142: 139: 121: 120: 119: 118: 107: 104: 101: 55: 15: 13: 10: 9: 6: 4: 3: 2: 333: 322: 319: 317: 314: 312: 309: 308: 306: 295: 290: 288: 283: 281: 276: 275: 269: 267: 263: 259: 254: 251: 247: 242: 235: 232: 231:0-387-95495-3 228: 224: 220: 219: 215: 197: 189: 186: 162: 159: 154: 150: 146: 143: 140: 137: 129: 125: 124: 123: 122: 105: 102: 99: 91: 87: 86: 85: 84: 83: 81: 77: 73: 71: 68:differential 53: 45: 41: 37: 32: 30: 26: 22: 266:expanding it 255: 240: 222: 127: 89: 75: 69: 43: 35: 33: 20: 18: 305:Categories 216:References 190:∈ 155:∧ 151:ω 147:× 138:α 130:is even, 100:α 54:α 179:, where 92:is odd, 82:. Then: 25:theorem 229:  46:. Let 256:This 72:-form 66:be a 38:be a 23:is a 262:stub 227:ISBN 19:The 126:If 88:If 74:on 27:in 307:: 106:0. 31:. 293:e 286:t 279:v 268:. 198:. 194:R 187:c 163:2 160:k 144:c 141:= 128:k 103:= 90:k 76:M 70:k 44:ω 36:M

Index

theorem
symplectic topology
symplectic manifold
differential k-form
Hamiltonian vector fields
ISBN
0-387-95495-3
Stub icon
differential geometry
stub
expanding it
v
t
e
Categories
Symplectic topology
Theorems in differential geometry
Differential geometry stubs

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